Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term

DOI10.3233/ASY-211747zbMath1498.35489arXiv2109.06058OpenAlexW3200047304MaRDI QIDQ5040040

Natsumi Yoshida

Publication date: 11 October 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06058

zbMATH Keywords

asymptotic behaviorrarefaction waveconvex fluxBenjamin-Bona-Mahony-Burgers equationKorteweg-de Vries-Benjamin-Bona-Mahony-Burgers equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent
• Decay of solutions of some nonlinear wave equations
• On the existence and regularity of solutions for degenerate power-law fluids.
• Stability of the rarefaction wave for the generalized KdV-Burgers equation
• Nonlinear stability of strong rarefaction waves for the generalized KdV-Burgers-Kuramoto equation with large initial perturbation
• Global stability of strong rarefaction waves for the generalized KdV-Burgers equation
• Decay properties of solutions to the Cauchy problem for the scalar conservation law with nonlinearly degenerate viscosity
• Large-time behavior of solutions to an initial-boundary value problem on the half line for scalar viscous conservation law
• Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space
• Higher-order for the multidimensional generalized BBM-Burgers equation: Existence and convergence results
• Rarefactions and large time behavior for parabolic equations and monotone schemes
• Models for propagation of bores. I: Two dimensional theory
• Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
• \(L_q\)-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations
• Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers equation
• Global asymptotics toward the rarefaction waves for solutions to the Cauchy problem of the scalar conservation law with nonlinear viscosity
• Global structure of solutions toward the rarefaction waves for the Cauchy problem of the scalar conservation law with nonlinear viscosity
• A note on the stability of the rarefaction wave of the Burgers equation
• Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the scalar diffusive dispersive conservation laws
• On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments
• Decay properties of solutions toward a multiwave pattern to the Cauchy problem for the scalar conservation law with degenerate flux and viscosity
• Asymptotic stability of the rarefaction wave for the generalized KdV-Burgers-Kuramoto equation
• Global asymptotic stability of the rarefaction waves to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws
• The generalized BBM-Burgers equations: convergence results for conservation law with discontinuous flux function
• Non-Newtonian Fluids: An Introduction
• Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
• Asymptotic Behavior of Solutions to the Cauchy Problem for the Scalar Viscous Conservation Law with Partially Linearly Degenerate Flux
• Hyperbolic systems of conservation laws II
• The generalized BBM-Burger equations with non-linear dissipative term: existence and convergence results
• On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations
• Travelling-wave solutions to the Korteweg-de Vries-Burgers equation
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• L1 stability of travelling waves with applications to convective porous media flow
• Large-time behavior of solution for generalized Benjamin–Bona–Mahony–Burgers equations
• Asymptotics toward the rarefaction wave of the solutions of burgers' equation with nonlinear degenerate viscosity
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
• Asymptotic Behavior of Solutions Toward the Viscous Shock Waves to the Cauchy Problem for the Scalar Conservation Law with Nonlinear Flux and Viscosity
• Decay rates for the solutions of model equations for bore propagation
• Large-time asymptotic behaviour of a step for the Benjamin–Bona–Mahony–Burgers equation
• Asymptotic Behavior of Solutions Toward a Multiwave Pattern to the Cauchy Problem for the Dissipative Wave Equation with Partially Linearly Degenerate Flux
• ON TIME PERIODIC SOLUTIONS TO THE GENERALIZED BBM-BURGERS EQUATION WITH TIME-DEPENDENT PERIODIC EXTERNAL FORCE
• Asymptotic Behavior of Solutions Toward a Multiwave Pattern to the Cauchy Problem for the Scalar Conservation Law with the Ostwald--de Waele-Type Viscosity
• Global existence and bounded estimate of solutions of the BBM-Burgers equation
• Model equations for long waves in nonlinear dispersive systems

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