Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space
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Publication:959853
DOI10.1016/J.JDE.2007.12.012zbMath1172.35067OpenAlexW2060154004MaRDI QIDQ959853
Huijiang Zhao, Hui Yin, Jongsung Kim
Publication date: 12 December 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2007.12.012
global stabilitynonlinear stabilitydecay rateboundary layer solutionspace-time weighted energy methodgeneralized Benjamin-Bona-Mahony-Burgers equation
Related Items (9)
Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Convergence rate to strong boundary layer solutions for generalized BBM-Burgers equations with non-convex flux ⋮ New multiple analytic solitonary solutions and simulation of (2+1)-dimensional generalized Benjamin-Bona-Mahony-Burgers model ⋮ The asymptotic behavior of solutions of an initial boundary value problem for the generalized Benjamin-Bona-Mahony equation ⋮ Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions ⋮ NONLINEAR STABILITY OF PLANAR BOUNDARY LAYER SOLUTIONS FOR DAMPED WAVE EQUATION ⋮ NONLINEAR STABILITY OF PLANAR STATIONARY WAVES FOR GENERALIZED BENJAMIN–BONA–MAHONY–BURGERS EQUATIONS IN THE HALF-PLANE ⋮ On the convergence of difference schemes for the generalized BBM-Burgers equation ⋮ ONE-DIMENSIONAL DAMPED WAVE EQUATION WITH LARGE INITIAL PERTURBATION
Cites Work
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- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- Decay of solutions of some nonlinear wave equations
- Asymptotic behavior for scalar viscous conservation laws with boundary effect
- Singular limit problem of the Camassa-Holm type equation
- Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space
- Convergence rate to traveling waves for generalized Benjamin-Bona-Mahony-Burgers equations
- Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
- Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance.
- Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
- Asymptotic stability of stationary waves for two-dimensional viscous conservation laws in half plane
- A note on the Cauchy problem to a class of nonlinear dispersive equations with singular initial data
- Asymptotic behavior of solutions for \(p\)-system with relaxation
- \(L_q\)-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations
- Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers equation
- Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
- Long-time behavior of solutions to a nonlinear hyperbolic relaxation system
- Optimal temporal decay estimates for the solution to the multidimensional generalized BBM-Burgers Equations with Dissipative Term
- Existence and convergence of solutions for the generalized BBM-burgers equations with dissipative term 2: the multidimensional case
- Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
- Solitary-wave interaction
- Convergence of solution to nonlinear dispersive equations
- Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.
- Stability of travelling waves for non‐convex scalar viscous conservation laws
- Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
- Lp ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES
- Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions
- Large-time asymptotic behaviour of a step for the Benjamin–Bona–Mahony–Burgers equation
- A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation
- Model equations for long waves in nonlinear dispersive systems
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