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