Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation

DOI10.1070/IM2013v077n02ABEH002637zbMath1270.35183OpenAlexW2037390318MaRDI QIDQ4923014

Pavel I. Naumkin, Elena I. Kaikina, Iliya A. Shishmarev

Publication date: 5 June 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2013v077n02abeh002637

zbMATH Keywords

asymptotic behaviourlong-time behaviourperiodic problemSobolev-type equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (3)

Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation ⋮ Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity ⋮ Asymptotics of solutions for periodic problem for the Korteweg-de Vries equation with Landau damping, pumping and higher order convective non linearity

Cites Work

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• Wavelet basis analysis in perturbed periodic KdV equation
• Large time behaviour of solutions of balance laws with periodic initial data
• A periodic boundary value problem for a generalized 2D Ginzburg-Landau equation
• Periodic problem for a model nonlinear evolution equation
• Large time behavior of periodic solutions of hyperbolic systems of conservation laws
• Time asymptotics for solutions of the Burgers equation with a periodic force
• On spatially periodic solutions of the damped Boussinesq equation
• Asymptotics for dissipative nonlinear equations
• Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations
• Global spatially periodic solutions to the Ginzburg–Landau equation
• Asymptotic states for equations of reaction and diffusion
• Stability of solutions to a destabilized hopf equation

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