Found 213 Documents (Results 1–100)
Soliton-like solutions supported by refined hydrodynamic-type model of an elastic medium with soft inclusions. (English) Zbl 1541.35495
On the importance of modified continuum mechanics to predict the vibration of an embedded nanosphere in fluid. (English) Zbl 1534.35317
Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion. (English) Zbl 1534.35405
Long time behavior of solutions of an electroconvection model in \(\mathbb{R}^2\). (English) Zbl 1533.35231
Proof of modulational instability of Stokes waves in deep water. (English) Zbl 1526.76011
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
The fractional porous medium equation on manifolds with conical singularities. II. (English) Zbl 1531.35367
Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors. (English) Zbl 1527.35419
MSC:
35Q81
35Q31
35Q60
76L05
76J20
76H05
76N10
78A35
82D37
35L60
35B06
35B36
35B40
35B65
35A01
35A02
47H10
Wave breaking phenomenon to a nonlinear equation including the Fornberg-Whitham model. (English) Zbl 1517.35177
Statistical solution for the nonlocal discrete nonlinear Schrödinger equation. (English) Zbl 1514.35407
Two new types of nonlocal Boussinesq equations in water waves: bright and dark soliton solutions. (English) Zbl 1540.35311
Freely floating objects on a fluid governed by the Boussinesq equations. (English) Zbl 1512.35466
Reviewer: Alain Brillard (Riedisheim)
Parameters controlling of vortex solitons in nonlocal nonlinear medium with gradually characteristic length. (English) Zbl 1504.76055
New local and nonlocal soliton solutions of a nonlocal reverse space-time mKdV equation using improved Hirota bilinear method. (English) Zbl 1511.35078
Stability of stationary subsonic compressible Euler flows with mass-additions in two-dimensional straight ducts. (English) Zbl 1496.35298
Maximal \(L_q\)-regularity of nonlocal parabolic equations in higher order Bessel potential spaces. (English) Zbl 1492.35081
Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation. (English) Zbl 1490.35208
Waves of maximal height for a class of nonlocal equations with inhomogeneous symbols. (English) Zbl 1508.35078
On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach*. (English) Zbl 1490.35293
Lower bound estimate of blow up time for the porous medium equations under Dirichlet and Neumann boundary conditions. (English) Zbl 1488.35132
Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model. (English) Zbl 1471.35197
On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity. (English) Zbl 1458.35347
Nonlocal symmetries and exact solutions of a variable coefficient AKNS system. (English) Zbl 1477.76061
The time high-order energy-preserving schemes for the nonlocal Benjamin-Ono equation. (English) Zbl 1488.65369
Energy asymptotics of a Dirichlet to Neumann problem related to water waves. (English) Zbl 1453.76026
The phase field method for geometric moving interfaces and their numerical approximations. (English) Zbl 1455.35276
Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 425-508 (2020).
MSC:
35Qxx
65M06
65M60
65M70
65M20
65M12
65M15
65Z05
35B25
35K20
35K35
74A50
74N20
76T30
80A22
82C26
92C17
92C37
92C55
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. (English) Zbl 1436.76041
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics. (English) Zbl 1467.45017
Reviewer: Rodica Luca (Iaşi)
Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion-fluid system. (English) Zbl 1481.76201
Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation. (English) Zbl 1435.35296
Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation. (English) Zbl 1427.35113
A nonlocal nonlinear Schrödinger equation derived from a two-layer fluid model. (English) Zbl 1437.35634
On recent numerical methods for steady periodic water waves. (English) Zbl 1442.76094
Henry, David (ed.) et al., Nonlinear water waves. An interdisciplinary interface. Based on the workshop held at the Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, November 27 – December 7, 2017. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 139-149 (2019).
Well-posedness and derivative blow-up for a dispersionless regularized shallow water system. (English) Zbl 1428.35375
Robust numerical methods for nonlocal (and local) equations of porous medium type. I: Theory. (English) Zbl 1428.65005
The existence and uniqueness of solutions for a nonlocal convective Cahn-Hilliard equation. (Chinese. English summary) Zbl 1438.35225
Sharp threshold of global existence for a nonlocal nonlinear Schrödinger system in \(\mathbb{R}^3\). (English) Zbl 1408.35171
Robust numerical methods for nonlocal (and local) equations of porous medium type. II: Schemes and experiments. (English) Zbl 1516.65066
Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations. (English) Zbl 1393.35184
A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey-Stewartson equations. (English) Zbl 1375.35387
On the asymptotic behavior of a subcritical convection-diffusion equation with nonlocal diffusion. (English) Zbl 1372.35040
Nonlocal symmetry, CTE solvability and interaction solutions of Whitham-Broer-Kaup equations. (English) Zbl 1358.35142
Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type. (English) Zbl 1349.35311
Existence of solutions for nonlocal problems in Orlicz-Sobolev spaces via monotone method. (English) Zbl 1463.35249
Modulational instability in nonlinear nonlocal equations of regularized long wave type. (English) Zbl 1364.76029
Approximate symmetries in viscoelasticity. (English. Russian original) Zbl 1355.74025
Theor. Math. Phys. 189, No. 1, 1500-1508 (2016); translation from Teor. Mat. Fiz. 189, No. 1, 115-124 (2016).
Multiple solutions for nonlocal non-homogeneous Neumann problems in Orlicz-Sobolev spaces. (English) Zbl 1348.35079
Twin iterative solutions for a fractional differential turbulent flow model. (English) Zbl 1383.34014
Regularity of solutions of the fractional porous medium flow with exponent \(1/2\). (English) Zbl 1335.35273
St. Petersbg. Math. J. 27, No. 3, 437-460 (2016) and Algebra Anal. 27, No. 3, 125-156 (2015).
Reviewer: Piotr Biler (Wroclaw)
Theoretical and numerical local null controllability of a Ladyzhenskaya-Smagorinsky model of turbulence. (English) Zbl 1330.35482
System dynamics with interaction discontinuity. (English) Zbl 1417.93020
Nonlinear Systems and Complexity 13. Cham: Springer (ISBN 978-3-319-17421-1/hbk; 978-3-319-17422-8/ebook). x, 257 p. (2015).
Coherent structures in nonlocal dispersive active-dissipative systems. (English) Zbl 1335.35218
Reviewer: Milan Pokorný (Praha)
Finite difference/spectral approximations to a water wave model with a nonlocal viscous term. (English) Zbl 1428.76149
Global existence and blow-up for a nonlinear porous medium equation with a nonlinear nonlocal boundary condition. (English) Zbl 1324.35066
Large time behaviour for a nonlocal diffusion-convection equation related with gas dynamics. (English) Zbl 1307.35049
Classical solutions for a logarithmic fractional diffusion equation. (English) Zbl 1322.35167
Reviewer: Chuanzhi Bai (Huaian)
Symmetry and intertwining operators for the nonlocal Gross-Pitaevskii equation. (English) Zbl 1290.35245
Periodic traveling-wave solutions of nonlinear dispersive evolution equations. (English) Zbl 1277.35096
Steady water waves in the presence of wind. (English) Zbl 1277.37083
Reviewer: Boris V. Loginov (Ul’yanovsk)
Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations. (English) Zbl 1267.35004
Application of the nonlocal Darcy law to the propagation of nonlinear thermoelastic waves in fluid saturated porous media. (English) Zbl 1355.76066
Local and nonlocal conserved vectors for the nonlinear filtration equation. (English) Zbl 1299.76248
Reviewer: Svetlana A. Grishina (Ul’yanovsk)
Periodic solution for nonlinear vibration of a fluid-conveying carbon nanotube, based on the nonlocal continuum theory by energy balance method. (English) Zbl 1252.74030
On singularity formation of a 3D model for incompressible Navier-Stokes equations. (English) Zbl 1252.35219
Optimal control of electrorheological clutch described by nonlinear parabolic equation with nonlocal boundary conditions. (English) Zbl 1218.49007
Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation. (English) Zbl 1216.35147
Derivation of a non-local model for diffusion asymptotics – application to radiative transfer problems. (English) Zbl 1364.82052
Decay of solutions to a water wave model with a nonlocal viscous dispersive term. (English) Zbl 1198.35190
Reviewer: Nicolae Pop (Baia Mare)
An exploration of chaos. An introduction to the theory of nonlinear systems. 2nd completely revised and expanded ed. (Die Erforschung des Chaos. Eine Einführung in die Theorie nichtlinearer Systeme.) (German) Zbl 1254.37001
Springer: Complexity. Berlin: Springer (ISBN 978-3-540-71071-4/pbk; 978-3-540-71072-1/ebook). xxvii, 893 p. (2010).
Reviewer: Jürgen Knobloch (Ilmenau)
Weak solutions to a model for crystal growth from the melt in changing magnetic fields. (English) Zbl 1200.35211
Kunisch, Karl (ed.) et al., Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Basel: Birkhäuser (ISBN 978-3-7643-8922-2/hbk; 978-3-7643-8923-9/ebook). ISNM. International Series of Numerical Mathematics 158, 123-137 (2009).
Bifurcation and nonsmooth dynamics of solitary waves in the generalized long-short wave equations. (English) Zbl 1185.35269
Nonlocal symmetries and a Darboux transformation for the Camassa-Holm equation. (English) Zbl 1173.37055
Reviewer: Giulio Landolfi (Lecce)
Analysis of the Reynolds stress using the Green’s function. (English) Zbl 1208.76111
Kaneda, Yukio (ed.), IUTAM symposium on computational physics and new perspectives in turbulence. Proceedings of the IUTAM symposium on computational physics and new perspectives in turbulence, Nagoya University, Nagoya, Japan, September, 11–14, 2006. Dordrecht: Springer (ISBN 978-1-4020-6471-5/hbk). IUTAM Bookseries 4, 267-272 (2008).
Traveling wave solutions of a nonlinear degenerate parabolic system from petroleum engineering. (English) Zbl 1156.35105
Reviewer: Enrico Valdinoci (Rom)
Numerical treatment of a nonlinear nonlocal transport equation modeling crystal precipitation. (English) Zbl 1156.82021
Reviewer: Claudia-Veronika Meister (Darmstadt)
Steady-state flows of thermal viscous incompressible fluids with convective-radiation effects. (English) Zbl 1112.35038
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