Decay of solutions to nonlinear, dispersive wave equations

zbMath0780.35098MaRDI QIDQ1308506

Jerry L. Bona, Laihan Luo

Publication date: 6 February 1994

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorinitial-value problemdecay rategeneralized Korteweg-de Vries-Burgers equationgeneralized regularized long-wave-Burgers equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Integral representations of solutions to PDEs (35C15)

Related Items (19)

Asymptotic behavior of solutions for the time-delayed equations of Benjamin-Bona-Mahony's type ⋮ Large-time behavior of solution for generalized Benjamin–Bona–Mahony–Burgers equations ⋮ Boundary control of the generalized Korteweg-de Vries-Burgers equation ⋮ Nonlinear pseudoparabolic type equations on a half-line with large initial data ⋮ Adaptive boundary control of the unforced generalized Korteweg-de Vries-Burgers equation ⋮ Long-time behavior of solutions of the generalized Korteweg-de Vries equation ⋮ A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Asymptotic behaviour of solutions to some pseudoparabolic equations ⋮ Adaptive boundary control of the forced generalized Korteweg-de Vries-Burgers equation ⋮ Solutions to some open problems in fluid dynamics ⋮ Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation ⋮ Nonlinear boundary control of the unforced generalized Korteweg-de Vries-Burgers equation ⋮ Zero-Dissipation Limit for Nonlinear Waves ⋮ A qualitative study and numerical simulations for a time-delayed dispersive equation ⋮ \(L_q\)-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations ⋮ Decay rate of solutions to hyperbolic system of first order ⋮ 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 ⋮ Self-similar large time behavior of solutions to Korteweg–de Vries–Burgers equation

This page was built for publication: Decay of solutions to nonlinear, dispersive wave equations