Global stability of strong rarefaction waves for the generalized KdV-Burgers equation
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Publication:867833
DOI10.1016/j.na.2006.01.008zbMath1157.35092OpenAlexW2009406732MaRDI QIDQ867833
Publication date: 19 February 2007
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2006.01.008
KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (13)
Global existence and decay rate of the Boussinesq-Burgers system with large initial data ⋮ Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Asymptotic behavior of rarefaction waves for a model system of a radiating gas ⋮ Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law ⋮ Boundary value problem for the KdV-Burgers equation in a quarter plane ⋮ The Jin-Xin relaxation approximation of scalar conservation laws in several dimensions with large initial perturbation ⋮ Global asymptotic stability of the rarefaction waves to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws ⋮ Examples of the absence of a traveling wave for the generalized Korteweg-de Vries-Burgers equation ⋮ Nonlinear stability of strong rarefaction waves for the generalized KdV-Burgers-Kuramoto equation with large initial perturbation ⋮ Asymptotic stability of monotone decreasing kink profile solitary wave solutions for generalized KdV-Burgers equation ⋮ Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the scalar diffusive dispersive conservation laws ⋮ Asymptotic stability of rarefaction waves for the generalized KdV-Burgers equation on the half-line ⋮ Global dynamics of the Boussinesq‐Burgers system with large initial data
Cites Work
- Unnamed Item
- Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas
- Asymptotic stability of planar rarefaction waves for the relaxation approximation of conservation laws in several dimensions
- Stability of the rarefaction wave for the generalized KdV-Burgers equation
- Asymptotic stability of rarefraction waves for 2\(\times 2\) viscous hyperbolic conservation laws - the two-modes case
- Rarefactions and large time behavior for parabolic equations and monotone schemes
- Asymptotic stability of rarefaction waves for 2\(\times 2\) viscous hyperbolic conservation laws
- Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
- Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of conservation laws in several space dimensions
- Asymptotic behavior of solutions to a hyperbolic system with relaxation and boundary effect
- Asymptotic behavior of solutions for \(p\)-system with relaxation
- Asymptotics toward strong rarefaction waves for \(2\times 2\) systems of viscous conservation laws
- Convergence to strong nonlinear rarefaction waves for global smooth solutions of \(p\)-system with relaxation
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- Stability of rarefaction waves in viscous media
- A note on the stability of the rarefaction wave of the Burgers equation
- Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
- Global Stability of Strong Rarefaction Waves of the Jin–Xin Relaxation Model for thep-System
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- Asymptotics toward rarefaction wave of solutions of the Broadwell model of a discrete velocity gas
- Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases
- Asymptotics toward the rarefaction wave of the solutions of burgers' equation with nonlinear degenerate viscosity
- Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect
- Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
- Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions
- ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES OF SOLUTIONS FOR VISCOUS CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS
- Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
- Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions
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