Sergeĭ B. Kuksin - Author Profile

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Kuksin, Sergeĭ B.

Author ID:	kuksin.sergei-b
Published as:	Kuksin, S. B.; Kuksin, Sergei; Kuksin, Sergei B.; Kuksin, Sergej B.; Kuksin, S.; Kuksin, Sergeĭ B.; Kuksin, Sergeï B.; Kuksin, Sergej more...less
Homepage:	https://webusers.imj-prg.fr/~sergei.kuksin/
External Links:	MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr

Documents Indexed:	150 Publications since 1978, including 5 Books and 6 Additional arXiv Preprints
	2 Contributions as Editor
Biographic References:	1 Publication
Co-Authors:	69 Co-Authors with 78 Joint Publications
	2,838 Co-Co-Authors

all top 5

Co-Authors

73	single-authored
13	Shirikyan, Armen R.
9	Eliasson, L. Hakan
8	Maiocchi, Alberto Mario
6	Dymov, Andrey V.
5	Huang, Guan
4	Grébert, Benoît
4	Piatnitski, Andrey L.
3	Bikbaev, Ramil’ F.
3	Kappeler, Thomas
3	Nersesyan, Vahagn
3	Pöschel, Jürgen
3	Vishik, Marko Iosifovich
3	Vlǎduţ, Sergei Georgievich
2	Agranovich, Mikhail Semënovich
2	Babin, Anatoli V.
2	Bambusi, Dario
2	Bobenko, Alexander Ivanovich
2	Chepyzhov, Vladimir V.
2	Chueshov, Igor’ Dmitrievich
2	Demidov, Alexandre Sergeevich
2	Dubinskiĭ, Yuliĭ Andreevich
2	Fursikov, Andreĭ Vladimirovich
2	Khesin, Boris A.
2	Kokarev, Gerasim
2	Komech, Alexander Ilich
2	Maslov, Viktor Pavlovich
2	Nadirashvili, Nikolai S.
2	Peralta-Salas, Daniel
2	Perelman, Galina
2	Schröder, Viktor M. H.
2	Shnirelman, Alexander I.
2	Shubin, Mikhail Aleksandrovich
2	Tikhomirov, Vladimir Mikhaĭlovich
1	Agrachev, Andreĭ Aleksandrovich
1	Bardos, Claude Williams
1	Boritchev, Alexandre
1	Brandenberger, Robert H.
1	Drinfeld, Vladimir Gershonovich
1	Eskin, Gregory
1	Gol’dshtejn, R. V.
1	Goritskiĭ, Andreĭ Yur’evich
1	Grigor’yan, Alexander Asaturovich
1	Guan, Huang
1	Guyenne, Philippe
1	Il’yashenko, Yuliĭ Sergeevich
1	Jakobson, Dmitry
1	Jian, Wenwen
1	Kelaï, Takfarinas
1	Kenig, Carlos Eduardo
1	Korotyaev, Evgeny L.
1	Krasnov, M. L.
1	Kuleshov, A. P.
1	Lazutkin, Vladimir Fedorovich
1	Makarenko, G. I.
1	Mischaikow, Konstantin
1	Neĭshtadt, Anatoliĭ Iserovich
1	Novikov, Sergeĭ Petrovich
1	Pelinovsky, Dmitry Efimovich
1	Penrose, Oliver
1	Sarnak, Peter Clive
1	Saut, Jean-Claude
1	Sulem, Catherine
1	Tsfasman, Michael A.
1	Vladuts, Sergei
1	Volevich, Leonid Romanovich
1	Wayne, Clarence Eugene
1	Wu, Yuan
1	Yi, Yingfei
1	Zhang, Huilin

all top 5

Serials

8	Communications in Mathematical Physics
7	Russian Mathematical Surveys
7	Geometric and Functional Analysis. GAFA
4	Journal of Statistical Physics
4	Moscow University Mathematics Bulletin
4	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4	Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
4	Séminaire Laurent Schwartz. EDP et Applications
3	Archive for Rational Mechanics and Analysis
3	Journal of Applied Mathematics and Mechanics
3	Functional Analysis and its Applications
3	Physica D
3	Mathematics of the USSR, Sbornik
2	Matematicheskie Zametki
2	Nonlinearity
2	Uspekhi Matematicheskikh Nauk [N. S.]
2	ZAMP. Zeitschrift für angewandte Mathematik und Physik
2	Matematicheskiĭ Sbornik. Novaya Seriya
2	Journal de Mathématiques Pures et Appliquées. Neuvième Série
2	Soviet Physics. Doklady
2	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2	Journal of Dynamics and Differential Equations
2	Russian Journal of Mathematical Physics
2	Séminaire Équations aux Dérivées Partielles
2	St. Petersburg Mathematical Journal
2	Annals of Mathematics. Second Series
2	Moscow Mathematical Journal
2	Proceedings of the Steklov Institute of Mathematics
2	Stochastic and Partial Differential Equations. Analysis and Computations
1	Communications on Pure and Applied Mathematics
1	Letters in Mathematical Physics
1	Mathematical Notes
1	Reviews in Mathematical Physics
1	Chaos, Solitons and Fractals
1	Theory of Probability and its Applications
1	Advances in Mathematics
1	Commentarii Mathematici Helvetici
1	Funktsional’nyĭ Analiz i ego Prilozheniya
1	Mathematics of the USSR. Izvestiya
1	Ergodic Theory and Dynamical Systems
1	Annals of Global Analysis and Geometry
1	Algebra i Analiz
1	Differential Geometry and its Applications
1	Automation and Remote Control
1	Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1	Journal of Physics A: Mathematical and General
1	Stochastic Processes and their Applications
1	Notices of the American Mathematical Society
1	Journal of Nonlinear Science
1	Bulletin des Sciences Mathématiques
1	Sbornik: Mathematics
1	Discrete and Continuous Dynamical Systems
1	Documenta Mathematica
1	Doklady Mathematics
1	Mathematical Physics, Analysis and Geometry
1	Reviews in Mathematics and Mathematical Physics
1	Chaos
1	Journal of Dynamical and Control Systems
1	Communications in Contemporary Mathematics
1	Annales Henri Poincaré
1	Journal of Mathematical Physics, Analysis, Geometry
1	Cambridge Tracts in Mathematics
1	Lecture Notes in Mathematics
1	Mathematical Surveys and Monographs
1	Oxford Lecture Series in Mathematics and its Applications
1	Annales Mathématiques du Québec
1	Journal de l’École Polytechnique – Mathématiques
1	Progress in Nonlinear Differential Equations and Their Applications
1	Zurich Lectures in Advanced Mathematics

all top 5

Fields

103	Partial differential equations (35-XX)
59	Dynamical systems and ergodic theory (37-XX)
27	Fluid mechanics (76-XX)
26	Probability theory and stochastic processes (60-XX)
11	Mechanics of deformable solids (74-XX)
8	Ordinary differential equations (34-XX)
7	Global analysis, analysis on manifolds (58-XX)
6	Functional analysis (46-XX)
6	Differential geometry (53-XX)
5	Operator theory (47-XX)
5	Systems theory; control (93-XX)
4	History and biography (01-XX)
4	Mechanics of particles and systems (70-XX)
3	Quantum theory (81-XX)
2	General and overarching topics; collections (00-XX)
2	Linear and multilinear algebra; matrix theory (15-XX)
2	Group theory and generalizations (20-XX)
2	Numerical analysis (65-XX)
1	Number theory (11-XX)
1	Real functions (26-XX)
1	Measure and integration (28-XX)
1	Difference and functional equations (39-XX)
1	Approximations and expansions (41-XX)
1	Integral equations (45-XX)
1	Algebraic topology (55-XX)
1	Classical thermodynamics, heat transfer (80-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Geophysics (86-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

113 Publications have been cited 2,390 times in 1,046 Documents	Cited by ▼	Year ▼
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130 Kuksin, Sergej; Pöschel, Jürgen	220	1996
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028 Kuksin, Sergej B.	219	1993
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177 Eliasson, L. Hakan; Kuksin, Sergei B.	186	2010
Mathematics of two-dimensional turbulence. Zbl 1333.76003 Kuksin, Sergei; Shirikyan, Armen	144	2012
Analysis of Hamiltonian PDE’s. Zbl 0960.35001 Kuksin, S. B.	130	2000
Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum. Zbl 0716.34083 Kuksin, S. B.	99	1987
On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141 Eliasson, Håkan L.; Kuksin, Sergei B.	95	2009
Hamiltonian perturbations of infinite-dimensional linear systems with imaginary spectrum. Zbl 0631.34069 Kuksin, S. B.	91	1987
KAM for the nonlinear beam equation. Zbl 1370.35214 Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.	85	2016
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135 Kuksin, S. B.	68	1998
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046 Kuksin, Sergei; Shirikyan, Armen	51	2000
Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044 Kuksin, Sergei; Shirikyan, Armen	44	2002
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056 Kuksin, Sergei; Shirikyan, Armen	43	2001
On small-denominators equations with large variable coefficients. Zbl 0886.35044 Kuksin, Sergej B.	33	1997
The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319 Kuksin, Sergei B.	33	2004
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046 Kuksin, Sergei; Shirikyan, Armen	30	2001
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061 Kuksin, Sergei; Shirikyan, Armen	30	2004
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015 Chueshov, Igor; Kuksin, Sergei	28	2008
Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060 Kuksin, S. B.	28	1989
Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083 Kuksin, Sergei B.	26	2006
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437 Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen	25	2020
Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE’s. Zbl 0827.35121 Kuksin, Sergej B.	24	1995
On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications. Zbl 0797.58025 Kuksin, Sergei; Pöschel, Jürgen	24	1994
Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077 Kuksin, Sergei B.; Piatnitski, Andrey L.	24	2008
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422 Chueshov, Igor; Kuksin, Sergei	24	2008
Fifteen years of KAM for PDE. Zbl 1067.37110 Kuksin, Sergei B.	23	2004
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113 Kuksin, S. B.	23	1997
Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145 Kuksin, S. B.	22	1999
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076 Kuksin, Sergei; Perelman, Galina	22	2010
KAM theory and the 3D Euler equation. Zbl 1303.37035 Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel	20	2014
Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205 Kuksin, Sergei B.	17	2010
On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations. Zbl 1177.60059 Agrachev, A.; Kuksin, S.; Sarychev, A.; Shirikyan, A.	16	2007
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099 Bobenko, Alexander I.; Kuksin, Sergej B.	15	1995
On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143 Kuksin, S. B.	15	1997
A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066 Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen	15	2002
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021 Eliasson, L. H.; Kuksin, S. B.	14	2008
Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036 Kuksin, S. B.	13	1988
Perturbation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems, and its applications to the Korteweg-de Vries equation. Zbl 0678.58037 Kuksin, S. B.	13	1989
On random attractors for mixing type systems. Zbl 1086.37027 Kuksin, S. B.; Shirikyan, A.	12	2004
On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever. Zbl 0774.35070 Bikbaev, Ramil F.; Kuksin, Sergej B.	12	1993
The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132 Guan, Huang; Kuksin, Sergei	12	2014
Weakly nonlinear stochastic CGL equations. Zbl 1280.35144 Kuksin, Sergei B.	12	2013
Formal expansions in stochastic model for wave turbulence. I: Kinetic limit. Zbl 1482.35211 Dymov, Andrey; Kuksin, Sergei	12	2021
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112 Kuksin, Sergei B.	11	1996
On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034 Kuksin, Sergei B.	11	2008
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058 Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.	11	2002
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331 Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto	10	2015
Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093 Kuksin, Sergei; Nersesyan, Vahagn	10	2013
Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336 Kuksin, Sergei; Maiocchi, Alberto	10	2015
On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086 Kuksin, S. B.	9	1995
Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025 Eliasson, H. L.; Kuksin, S. B.	9	2008
Mixing via controllability for randomly forced nonlinear dissipative PDEs. (Mélange via la contrôlabilité pour des EDP non linéaires dissipatives bruitées.) Zbl 1451.35071 Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen	9	2020
One-dimensional turbulence and the stochastic Burgers equation. Zbl 1486.60002 Boritchev, Alexandre; Kuksin, Sergei	9	2021
Perturbation theory of conditionally periodic solutions of infinite- dimensional Hamiltonian systems and its application to the Korteweg-de Vries equation. Zbl 0657.58033 Kuksin, S. B.	8	1988
Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123 Kuksin, Sergei B.	8	1998
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122 Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel	8	2020
On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow. Zbl 0931.37030 Kuksin, Sergei B.	7	1993
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106 Kuksin, Sergei; Shirikyan, Armen	7	2003
Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition. Zbl 1504.35474 Dymov, Andrey; Kuksin, Sergei	7	2023
On the Zakharov-L’vov stochastic model for wave turbulence. Zbl 1479.35783 Dymov, A. V.; Kuksin, S. B.	7	2020
Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461 Kuksin, S. B.	7	2007
Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437 Kuksin, Sergei; Maiocchi, Alberto	7	2018
A periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations and KAM deformations of finite-zone tori. Zbl 0771.35052 Bikbaev, R. F.; Kuksin, S. B.	6	1992
Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070 Kuksin, S. B.	6	1999
Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005 Kuksin, Sergei	6	2017
Diffeomorphisms of functional spaces corresponding to quasilinear parabolic equations. Zbl 0501.35046 Kuksin, S. B.	6	1982
The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462 Kuksin, Sergei; Maiocchi, Alberto	5	2015
KAM-theory for partial differential equations. Zbl 0821.35130 Kuksin, S. B.	5	1994
Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054 Kuksin, Sergei B.	5	2002
Perturbations of the harmonic map equation. Zbl 1063.58012 Kappeler, T.; Kuksin, S.; Schroeder, V.	5	2003
Exponential mixing for dissipative PDEs with bounded non-degenerate noise. Zbl 1440.35272 Kuksin, Sergei; Zhang, Huilin	5	2020
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392 Kuksin, Sergei B.	4	2006
An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022 Kuksin, Sergej B.	4	1992
A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027 Kuksin, Sergei; Penrose, Oliver	4	2005
Quasilinear elliptic equations and Fredholm manifolds. Zbl 0599.35041 Vishik, M. I.; Kuksin, S. B.	4	1985
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119 Kappeler, T.; Kuksin, S.	3	1995
Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005 Kokarev, Gerasim; Kuksin, Sergei	3	2007
Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013 Kuksin, Sergei B.	3	2006
A periodic boundary value problem for the sine-Gordon equation, small Hamiltonian perturbations of it, and KAM-deformations of finite-gap tori. Zbl 0791.35118 Bikbaev, R. F.; Kuksin, S. B.	3	1992
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039 Kuksin, S. B.	3	1989
KdV Hamiltonian as a function of actions. Zbl 1351.37243 Korotyaev, Evgeny L.; Kuksin, Sergei	3	2016
On exponential convergence to a stationary measure for nonlinear PDEs perturbed by random kick-forces, and the turbulence limit. Zbl 1023.37031 Kuksin, Sergei B.	3	2002
Perturbations of quasilinear elliptic equations and Fredholm manifolds. Zbl 0625.35029 Vishik, M. I.; Kuksin, S. B.	3	1987
Resonant averaging for weakly nonlinear stochastic Schrödinger equations. Zbl 1490.35426 Kuksin, Sergei B.	3	2014
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066 Kuksin, S. B.; Neishtadt, A. I.	3	2013
An application of monotone semigroups in the theory of perfect elastoplasticity. Zbl 0513.73039 Kuksin, S. B.	3	1982
Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048 Kuksin, Sergej B.	2	1996
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261 Kuksin, Sergei; Nadirashvili, Nikolai	2	2014
Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013 Kuksin, S. B.	2	1989
Rigorous results and conjectures on stationary space-periodic 2D turbulence. Zbl 1171.35445 Kuksin, Sergei B.	2	2007
Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates. Zbl 07116939 Kuksin, Sergei	2	2018
Conditions on a discontinuity of solutions of the Prandtl-Reuss equations. Zbl 0584.73040 Kuksin, S. B.	2	1984
The large-period limit for equations of discrete turbulence. Zbl 1529.35464 Dymov, Andrey; Kuksin, Sergei; Maiocchi, Alberto; Vlăduţ, Sergei	2	2023
Krylov-Bogolyubov averaging. Zbl 1452.34049 Jian, Wenwen; Kuksin, Sergeĭ B.; Wu, Yuan	2	2020
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037 Kappeler, T.; Schroeder, V.; Kuksin, S.	1	2005
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033 Kuksin, S. B.	1	1989
Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions. Zbl 0839.35117 Bobenko, A. I.; Kuksin, S. B.	1	1995
Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078	1	1994
Lectures on Hamiltonian methods in nonlinear PDEs. Zbl 1123.37028 Kuksin, Sergei	1	2005
On dissipative systems perturbed by bounded random kick-forces. Zbl 1029.37053 Kuksin, Sergei; Shirikyan, Armen	1	2002
On averaging and mixing for stochastic PDEs. Zbl 07920469 Huang, Guan; Kuksin, Sergei	1	2024
Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition. Zbl 1504.35474 Dymov, Andrey; Kuksin, Sergei	7	2023
The large-period limit for equations of discrete turbulence. Zbl 1529.35464 Dymov, Andrey; Kuksin, Sergei; Maiocchi, Alberto; Vlăduţ, Sergei	2	2023
Weak and strong versions of the Kolmogorov 4/5-law for stochastic Burgers equation. Zbl 1529.35379 Gao, Peng; Kuksin, Sergei	1	2023
Kolmogorov’s theory of turbulence and its rigorous 1d model. Zbl 1491.60103 Kuksin, Sergei	1	2022
Formal expansions in stochastic model for wave turbulence. I: Kinetic limit. Zbl 1482.35211 Dymov, Andrey; Kuksin, Sergei	12	2021
One-dimensional turbulence and the stochastic Burgers equation. Zbl 1486.60002 Boritchev, Alexandre; Kuksin, Sergei	9	2021
On the energy transfer to high frequencies in the damped/driven nonlinear Schrödinger equation. Zbl 1478.35192 Huang, Guan; Kuksin, Sergei	1	2021
Exponential mixing for a class of dissipative PDEs with bounded degenerate noise. Zbl 1442.35437 Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen	25	2020
Mixing via controllability for randomly forced nonlinear dissipative PDEs. (Mélange via la contrôlabilité pour des EDP non linéaires dissipatives bruitées.) Zbl 1451.35071 Kuksin, Sergei; Nersesyan, Vahagn; Shirikyan, Armen	9	2020
Global, local and dense non-mixing of the 3D Euler equation. Zbl 1451.35122 Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel	8	2020
On the Zakharov-L’vov stochastic model for wave turbulence. Zbl 1479.35783 Dymov, A. V.; Kuksin, S. B.	7	2020
Exponential mixing for dissipative PDEs with bounded non-degenerate noise. Zbl 1440.35272 Kuksin, Sergei; Zhang, Huilin	5	2020
Krylov-Bogolyubov averaging. Zbl 1452.34049 Jian, Wenwen; Kuksin, Sergeĭ B.; Wu, Yuan	2	2020
Ergodicity, mixing and KAM. Zbl 1479.35546 Kuksin, Sergei	1	2019
Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations. Zbl 1391.35437 Kuksin, Sergei; Maiocchi, Alberto	7	2018
Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates. Zbl 07116939 Kuksin, Sergei	2	2018
Asymptotic expansions for some integrals of quotients with degenerated divisors. Zbl 1382.28005 Kuksin, Sergei	6	2017
KAM for the nonlinear beam equation. Zbl 1370.35214 Eliasson, L. Hakan; Grébert, Benoît; Kuksin, Sergei B.	85	2016
KdV Hamiltonian as a function of actions. Zbl 1351.37243 Korotyaev, Evgeny L.; Kuksin, Sergei	3	2016
Introduction to the stochastic Burgers equation and Burgulence. (Introduction à l’équation de Burgers stochastique et à la Burgulence.) Zbl 1401.35358 Kelaï, Takfarinas; Kuksin, Sergei	1	2016
Time-averaging for weakly nonlinear CGL equations with arbitrary potentials. Zbl 1331.35331 Huang, Guan; Kuksin, Sergei; Maiocchi, Alberto	10	2015
Derivation of a wave kinetic equation from the resonant-averaged stochastic NLS equation. Zbl 1364.35336 Kuksin, Sergei; Maiocchi, Alberto	10	2015
The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. Zbl 1327.35462 Kuksin, Sergei; Maiocchi, Alberto	5	2015
KAM theory and the 3D Euler equation. Zbl 1303.37035 Khesin, Boris; Kuksin, Sergei; Peralta-Salas, Daniel	20	2014
The KdV equation under periodic boundary conditions and its perturbations. Zbl 1301.35132 Guan, Huang; Kuksin, Sergei	12	2014
Resonant averaging for weakly nonlinear stochastic Schrödinger equations. Zbl 1490.35426 Kuksin, Sergei B.	3	2014
Analyticity of solutions for quasilinear wave equations and other quasilinear systems. Zbl 1330.35261 Kuksin, Sergei; Nadirashvili, Nikolai	2	2014
Weakly nonlinear stochastic CGL equations. Zbl 1280.35144 Kuksin, Sergei B.	12	2013
Stochastic CGL equations without linear dispersion in any space dimension. Zbl 1287.60093 Kuksin, Sergei; Nersesyan, Vahagn	10	2013
On quantum averaging, quantum KAM, and quantum diffusion. Zbl 1271.81066 Kuksin, S. B.; Neishtadt, A. I.	3	2013
Mathematics of two-dimensional turbulence. Zbl 1333.76003 Kuksin, Sergei; Shirikyan, Armen	144	2012
KAM for the nonlinear Schrödinger equation. Zbl 1201.35177 Eliasson, L. Hakan; Kuksin, Sergei B.	186	2010
Vey theorem in infinite dimensions and its application to KdV. Zbl 1193.37076 Kuksin, Sergei; Perelman, Galina	22	2010
Damped-driven KdV and effective equations for long-time behaviour of its solutions. Zbl 1231.35205 Kuksin, Sergei B.	17	2010
Dissipative perturbations of KdV. Zbl 1204.35147 Kuksin, Sergei B.	1	2010
On reducibility of Schrödinger equations with quasiperiodic in time potentials. Zbl 1176.35141 Eliasson, Håkan L.; Kuksin, Sergei B.	95	2009
Random kick-forced 3D Navier-Stokes equations in a thin domain. Zbl 1133.76015 Chueshov, Igor; Kuksin, Sergei	28	2008
Khasminskii-Whitham averaging for randomly perturbed KdV equation. Zbl 1148.35077 Kuksin, Sergei B.; Piatnitski, Andrey L.	24	2008
Stochastic 3D Navier-Stokes equations in a thin domain and its \(\alpha \)-approximation. Zbl 1143.76422 Chueshov, Igor; Kuksin, Sergei	24	2008
Four lectures on KAM for the nonlinear Schrödinger equation. Zbl 1140.37021 Eliasson, L. H.; Kuksin, S. B.	14	2008
On distribution of energy and vorticity for solutions of 2D Navier-Stokes equation with small viscosity. Zbl 1168.35034 Kuksin, Sergei B.	11	2008
Infinite Toeplitz-Lipschitz matrices and operators. Zbl 1140.15025 Eliasson, H. L.; Kuksin, S. B.	9	2008
On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier-Stokes equations. Zbl 1177.60059 Agrachev, A.; Kuksin, S.; Sarychev, A.; Shirikyan, A.	16	2007
Eulerian limit for 2D Navier-Stokes equation and damped/driven KdV equation as its model. Zbl 1161.35461 Kuksin, S. B.	7	2007
Quasi-linear elliptic differential equations for mappings of manifolds. II. Zbl 1232.58005 Kokarev, Gerasim; Kuksin, Sergei	3	2007
Rigorous results and conjectures on stationary space-periodic 2D turbulence. Zbl 1171.35445 Kuksin, Sergei B.	2	2007
Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions. Zbl 1099.35083 Kuksin, Sergei B.	26	2006
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392 Kuksin, Sergei B.	4	2006
Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing. Zbl 1089.76013 Kuksin, Sergei B.	3	2006
A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing. Zbl 1064.76027 Kuksin, Sergei; Penrose, Oliver	4	2005
Poincaré inequalities for maps with target manifold of negative curvature. Zbl 1093.53037 Kappeler, T.; Schroeder, V.; Kuksin, S.	1	2005
Lectures on Hamiltonian methods in nonlinear PDEs. Zbl 1123.37028 Kuksin, Sergei	1	2005
The Eulerian limit for 2D statistical hydrodynamics. Zbl 1157.76319 Kuksin, Sergei B.	33	2004
Randomly forced CGL equation: stationary measures and the inviscid limit. Zbl 1047.35061 Kuksin, Sergei; Shirikyan, Armen	30	2004
Fifteen years of KAM for PDE. Zbl 1067.37110 Kuksin, Sergei B.	23	2004
On random attractors for mixing type systems. Zbl 1086.37027 Kuksin, S. B.; Shirikyan, A.	12	2004
Some limiting properties of randomly forced two-dimensional Navier-Stokes equations. Zbl 1060.35106 Kuksin, Sergei; Shirikyan, Armen	7	2003
Perturbations of the harmonic map equation. Zbl 1063.58012 Kappeler, T.; Kuksin, S.; Schroeder, V.	5	2003
Coupling approach to white-forced nonlinear PDEs. Zbl 1021.37044 Kuksin, Sergei; Shirikyan, Armen	44	2002
A coupling approach to randomly forced nonlinear PDE’s. II. Zbl 1010.60066 Kuksin, Sergei; Piatniski, Andrey; Shirikyan, Armen	15	2002
Hölder estimates for solutions of parabolic SPDEs. Zbl 1038.60058 Kuksin, S. B.; Nadirashvili, N. S.; Pyatnitskij, A. L.	11	2002
Ergodic theorems for 2D statistical hydrodynamics. Zbl 1030.37054 Kuksin, Sergei B.	5	2002
On exponential convergence to a stationary measure for nonlinear PDEs perturbed by random kick-forces, and the turbulence limit. Zbl 1023.37031 Kuksin, Sergei B.	3	2002
On dissipative systems perturbed by bounded random kick-forces. Zbl 1029.37053 Kuksin, Sergei; Shirikyan, Armen	1	2002
A coupling approach to randomly forced nonlinear PDE’s. I. Zbl 0991.60056 Kuksin, Sergei; Shirikyan, Armen	43	2001
Ergodicity for the randomly forced 2D Navier-Stokes equations. Zbl 1013.37046 Kuksin, Sergei; Shirikyan, Armen	30	2001
Analysis of Hamiltonian PDE’s. Zbl 0960.35001 Kuksin, S. B.	130	2000
Stochastic dissipative PDE’s and Gibbs measures. Zbl 0974.60046 Kuksin, Sergei; Shirikyan, Armen	51	2000
Spectral properties of solutions for nonlinear PDEs in the turbulent regime. Zbl 0929.35145 Kuksin, S. B.	22	1999
Stochastic nonlinear Schrödinger equation. I: A priori estimates. Zbl 0984.60070 Kuksin, S. B.	6	1999
A KAM-theorem for equations of the Korteweg-de Vries type. Zbl 0920.35135 Kuksin, S. B.	68	1998
Elements of a qualitative theory of Hamiltonian PDEs. Zbl 0967.35123 Kuksin, Sergei B.	8	1998
On small-denominators equations with large variable coefficients. Zbl 0886.35044 Kuksin, Sergej B.	33	1997
Oscillation in space-periodic nonlinear Schrödinger equations. Zbl 0874.35113 Kuksin, S. B.	23	1997
On turbulence in nonlinear Schrödinger equations. Zbl 0912.35143 Kuksin, S. B.	15	1997
Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation. Zbl 0847.35130 Kuksin, Sergej; Pöschel, Jürgen	220	1996
Growth and oscillations of solutions of nonlinear Schrödinger equation. Zbl 0862.35112 Kuksin, Sergei B.	11	1996
Double-periodic solutions of nonlinear Cauchy-Riemann equations. Zbl 0855.58048 Kuksin, Sergej B.	2	1996
Infinite-dimensional symplectic capacities and a squeezing theorem for Hamiltonian PDE’s. Zbl 0827.35121 Kuksin, Sergej B.	24	1995
The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation. Zbl 0842.35099 Bobenko, Alexander I.; Kuksin, Sergej B.	15	1995
On squeezing and flow of energy for nonlinear wave equations. Zbl 0834.35086 Kuksin, S. B.	9	1995
Strong nonresonance of Schrödinger operators and an averaging theorem. Zbl 0885.35119 Kappeler, T.; Kuksin, S.	3	1995
Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions. Zbl 0839.35117 Bobenko, A. I.; Kuksin, S. B.	1	1995
On the inclusion of analytic symplectic maps in analytic Hamiltonian flows and its applications. Zbl 0797.58025 Kuksin, Sergei; Pöschel, Jürgen	24	1994
KAM-theory for partial differential equations. Zbl 0821.35130 Kuksin, S. B.	5	1994
Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078	1	1994
Nearly integrable infinite-dimensional Hamiltonian systems. Zbl 0784.58028 Kuksin, Sergej B.	219	1993
On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever. Zbl 0774.35070 Bikbaev, Ramil F.; Kuksin, Sergej B.	12	1993
On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow. Zbl 0931.37030 Kuksin, Sergei B.	7	1993
A periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations and KAM deformations of finite-zone tori. Zbl 0771.35052 Bikbaev, R. F.; Kuksin, S. B.	6	1992
An infinitesimal Liouville-Arnold theorem as a criterion of reducibility for variational Hamiltonian equations. Zbl 0769.58022 Kuksin, Sergej B.	4	1992
A periodic boundary value problem for the sine-Gordon equation, small Hamiltonian perturbations of it, and KAM-deformations of finite-gap tori. Zbl 0791.35118 Bikbaev, R. F.; Kuksin, S. B.	3	1992
Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0667.58060 Kuksin, S. B.	28	1989
Perturbation theory for quasiperiodic solutions of infinite-dimensional Hamiltonian systems, and its applications to the Korteweg-de Vries equation. Zbl 0678.58037 Kuksin, S. B.	13	1989
An averaging theorem for distributed conservative systems and its application to von Kármán’s equations. Zbl 0722.73039 Kuksin, S. B.	3	1989
Reducible equations in variations and perturbations of invariant tori of Hamiltonian systems. Zbl 0684.58013 Kuksin, S. B.	2	1989
Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter. Zbl 0688.58033 Kuksin, S. B.	1	1989
Perturbation of conditionally periodic solutions of infinite-dimensional Hamiltonian systems. Zbl 0662.58036 Kuksin, S. B.	13	1988
Perturbation theory of conditionally periodic solutions of infinite- dimensional Hamiltonian systems and its application to the Korteweg-de Vries equation. Zbl 0657.58033 Kuksin, S. B.	8	1988
...and 13 more Documents

all cited Publications top 5 cited Publications

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Cited by 825 Authors

54	Kuksin, Sergeĭ B.
38	Geng, Jiansheng
33	Procesi, Michela
31	Berti, Massimiliano
25	Montalto, Riccardo
24	Xu, Junxiang
23	Bambusi, Dario
23	Grébert, Benoît
22	Kappeler, Thomas
21	Nersesyan, Vahagn
20	Yuan, Xiaoping
19	Xu, XinDong
18	Si, Jianguo
15	Shi, Yanling
14	Glatt-Holtz, Nathan E.
14	Li, Yong
14	Lou, Zhaowei
14	Maspero, Alberto
14	Shirikyan, Armen R.
14	You, Jiangong
13	Bedrossian, Jacob
13	Liang, Zhenguo
12	Baldi, Pietro
12	Gao, Meina
11	Cong, Hongzi
11	Liu, Jianjun
11	Mattingly, Jonathan Christopher
11	Mi, Lufang
11	Zhang, Min
10	Dymov, Andrey V.
10	Flandoli, Franco
10	Gentile, Guido
10	Rui, Jie
10	Topalov, Peter J.
9	Biasco, Luca
9	Faou, Erwan
9	Wang, Yi
8	Blumenthal, Alex
8	Bolle, Philippe
8	Boritchev, Alexandre
8	Debussche, Arnaud
8	Feola, Roberto
8	Ferrario, Benedetta
8	Giuliani, Filippo
8	Guardia, Marcel
8	Haus, Emanuele
8	Ji, Shuguan
8	Yan, Dongfeng
7	Bourgain, Jean
7	Corsi, Livia
7	Da Prato, Giuseppe
7	Gao, Yixian
7	Hairer, Martin
7	Hani, Zaher
7	Huang, Guan
7	Li, Dingshi
7	Li, Fuzhi
7	Peralta-Salas, Daniel
7	Sun, Yingnan
7	Wei, Jinlong
7	Xu, Lihu
7	Zhang, Dongfeng
7	Zhao, Zhiyan
6	Bessaih, Hakima
6	Cerrai, Sandra
6	Colliander, James E.
6	Coti Zelati, Michele
6	Froeschlé, Claude
6	Gess, Benjamin
6	Lega, Elena
6	Li, Jing
6	Liu, Wei
6	Maiocchi, Alberto Mario
6	Massetti, Jessica Elisa
6	Punshon-Smith, Sam
6	Razafimandimby, Paul André
6	Richards, Geordie H.
6	Shi, Guanghua
6	Si, Wen
6	Staffilani, Gigliola
6	Sun, Yingte
6	Thomann, Laurent
6	Xue, Shuaishuai
5	Bakhtin, Yuri Yu.
5	Bogachev, Vladimir Igorevich
5	Chen, Bochao
5	Enciso, Alberto
5	Földes, Juraj
5	Gerard, Patrick
5	Guzzo, Massimiliano
5	Kokarev, Gerasim
5	Liu, Jie
5	Luo, Dejun
5	Peng, Xuhui
5	Ren, Xiufang
5	Rudakov, Igor Alekseevich
5	Shi, Lin
5	Sy, Mouhamadou
5	Wang, Wei-Min
5	Wei, Hui
...and 725 more Authors

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Cited in 206 Serials

80	Journal of Differential Equations
71	Communications in Mathematical Physics
44	Journal of Mathematical Physics
44	Journal of Dynamics and Differential Equations
30	Journal of Mathematical Analysis and Applications
27	Discrete and Continuous Dynamical Systems
25	Archive for Rational Mechanics and Analysis
22	Nonlinearity
22	Physica D
19	Stochastic and Partial Differential Equations. Analysis and Computations
18	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17	Journal of Statistical Physics
17	Stochastic Processes and their Applications
15	Journal of Functional Analysis
14	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13	Advances in Mathematics
13	SIAM Journal on Mathematical Analysis
11	Inventiones Mathematicae
11	Geometric and Functional Analysis. GAFA
11	Qualitative Theory of Dynamical Systems
11	Communications on Pure and Applied Analysis
10	Communications in Partial Differential Equations
10	Journal of Nonlinear Science
10	Discrete and Continuous Dynamical Systems. Series B
9	Applicable Analysis
9	Probability Theory and Related Fields
9	Journal de Mathématiques Pures et Appliquées. Neuvième Série
8	NoDEA. Nonlinear Differential Equations and Applications
8	Séminaire Laurent Schwartz. EDP et Applications
7	Communications on Pure and Applied Mathematics
7	Russian Mathematical Surveys
7	Proceedings of the American Mathematical Society
7	Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
7	Regular and Chaotic Dynamics
7	Bollettino dell’Unione Matematica Italiana
6	Journal d’Analyse Mathématique
6	Mathematical Notes
6	The Annals of Probability
6	Duke Mathematical Journal
6	Memoirs of the American Mathematical Society
6	Transactions of the American Mathematical Society
6	Journal of Mathematical Sciences (New York)
6	Journal of the European Mathematical Society (JEMS)
6	Annales Henri Poincaré
6	Comptes Rendus. Mathématique. Académie des Sciences, Paris
6	Boundary Value Problems
6	Science China. Mathematics
6	Journal of Applied Analysis and Computation
5	Journal of Applied Mathematics and Mechanics
5	Chinese Annals of Mathematics. Series B
5	Bulletin of the American Mathematical Society. New Series
5	Taiwanese Journal of Mathematics
5	Acta Mathematica Sinica. English Series
5	Journal of Dynamical and Control Systems
5	Journal of Fixed Point Theory and Applications
4	Mathematical Methods in the Applied Sciences
4	Applied Mathematics and Optimization
4	Mathematische Zeitschrift
4	Stochastic Analysis and Applications
4	Celestial Mechanics and Dynamical Astronomy
4	Russian Journal of Mathematical Physics
4	Sbornik: Mathematics
4	Chaos
4	Communications in Nonlinear Science and Numerical Simulation
4	Journal of Evolution Equations
4	Dynamical Systems
4	Stochastics and Dynamics
4	Proceedings of the Steklov Institute of Mathematics
4	Analysis & PDE
3	ZAMP. Zeitschrift für angewandte Mathematik und Physik
3	Reviews in Mathematical Physics
3	Acta Mathematica
3	Indiana University Mathematics Journal
3	Numerische Mathematik
3	Journal of the American Mathematical Society
3	Journal of Scientific Computing
3	The Annals of Applied Probability
3	Differential Geometry and its Applications
3	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3	Topological Methods in Nonlinear Analysis
3	Calculus of Variations and Partial Differential Equations
3	Doklady Mathematics
3	Mathematical Physics, Analysis and Geometry
3	Journal of High Energy Physics
3	Nonlinear Analysis. Real World Applications
3	SIAM Journal on Applied Dynamical Systems
3	Frontiers of Mathematics in China
3	Forum of Mathematics, Sigma
3	Annals of PDE
2	Computers & Mathematics with Applications
2	Physica A
2	Physics Letters. A
2	Theoretical and Mathematical Physics
2	Annales de l’Institut Fourier
2	Annali di Matematica Pura ed Applicata. Serie Quarta
2	Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2	Applied Mathematics and Computation
2	Publications Mathématiques
2	Journal of Soviet Mathematics
...and 106 more Serials

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Cited in 44 Fields

751	Partial differential equations (35-XX)
581	Dynamical systems and ergodic theory (37-XX)
244	Probability theory and stochastic processes (60-XX)
195	Fluid mechanics (76-XX)
105	Mechanics of particles and systems (70-XX)
70	Ordinary differential equations (34-XX)
48	Quantum theory (81-XX)
44	Statistical mechanics, structure of matter (82-XX)
37	Global analysis, analysis on manifolds (58-XX)
31	Mechanics of deformable solids (74-XX)
28	Operator theory (47-XX)
28	Systems theory; control (93-XX)
27	Differential geometry (53-XX)
25	Numerical analysis (65-XX)
13	Geophysics (86-XX)
12	Functional analysis (46-XX)
8	Measure and integration (28-XX)
7	Harmonic analysis on Euclidean spaces (42-XX)
7	Calculus of variations and optimal control; optimization (49-XX)
6	Integral equations (45-XX)
6	Optics, electromagnetic theory (78-XX)
5	Real functions (26-XX)
5	Relativity and gravitational theory (83-XX)
4	Difference and functional equations (39-XX)
4	Approximations and expansions (41-XX)
4	Classical thermodynamics, heat transfer (80-XX)
3	General and overarching topics; collections (00-XX)
3	History and biography (01-XX)
3	Topological groups, Lie groups (22-XX)
3	Several complex variables and analytic spaces (32-XX)
3	Special functions (33-XX)
3	Biology and other natural sciences (92-XX)
2	Combinatorics (05-XX)
2	Number theory (11-XX)
2	Algebraic geometry (14-XX)
2	Group theory and generalizations (20-XX)
2	Functions of a complex variable (30-XX)
2	Manifolds and cell complexes (57-XX)
1	Mathematical logic and foundations (03-XX)
1	Category theory; homological algebra (18-XX)
1	Sequences, series, summability (40-XX)
1	Abstract harmonic analysis (43-XX)
1	Astronomy and astrophysics (85-XX)
1	Information and communication theory, circuits (94-XX)

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