On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations

DOI10.1016/0378-4754(94)00019-0zbMath0823.35018OpenAlexW1965271790MaRDI QIDQ1344295

Jerry L. Bona, Keith Promislow, Gene Wayne

Publication date: 1 November 1995

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(94)00019-0

zbMATH Keywords

renormalization techniquesFourier-multiplier operatornonlinear dispersive dissipative wave equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items

Fourier splitting and dissipation of nonlinear dispersive waves, A multiscale asymptotic analysis of time evolution equations on the complex plane, Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients and marginal perturbations, Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation, Zero-Dissipation Limit for Nonlinear Waves, Numerical Renormalization Group Algorithms for Self-Similar Asymptotics of Partial Differential Equations, On the asymptotic behavior of solutions to the (generalized) Kadomtsev-Petviashvili-Burgers equations, The effect of dissipation on solutions of the generalized Korteweg-de Vries equation

Cites Work

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• Stability and instability of solitary waves of Korteweg-de Vries type
• The dissipation of nonlinear dispersive waves: the case of asymptotically weak nonlinearity
• Renormalization group and asymptotics of solutions of nonlinear parabolic equations
• Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation