Existence and convergence of solutions for the generalized BBM-burgers equations with dissipative term 2: the multidimensional case

DOI10.1080/00036810008840838zbMath1034.35125OpenAlexW2039503831WikidataQ58252483 ScholiaQ58252483MaRDI QIDQ2729468

Huijiang Zhao

Publication date: 22 July 2001

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

Full work available at URL: https://doi.org/10.1080/00036810008840838

zbMATH Keywords

strong convergenceentropy solutionsSobolev imbedding theorem

Mathematics Subject Classification ID

Related Items (8)

Global existence and bounded estimate of solutions of the BBM-Burgers equation ⋮ On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure ⋮ Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space ⋮ The asymptotic behavior of solutions of an initial boundary value problem for the generalized Benjamin-Bona-Mahony equation ⋮ Large-time behavior for the solution to the generalized Benjamin-Bona-Mahony-Burgers equation with large initial data in the whole-space ⋮ Exponential decay rate of solutions toward traveling waves for the Cauchy problem of generalized Benjamin-Bona-Mahony-Burgers equations ⋮ Finite element method of BBM-Burgers equation with dissipative term based on adaptive moving mesh ⋮ ON TIME PERIODIC SOLUTIONS TO THE GENERALIZED BBM-BURGERS EQUATION WITH TIME-DEPENDENT PERIODIC EXTERNAL FORCE

Cites Work

• Oscillations and concentrations in weak solutions of the incompressible fluid equations
• Global existence for systems of parabolic conservation laws in several space variables
• Decay and asymptotics for \(\square u = F(u)\)
• Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
• An existence result for scalar conservation laws using measure valued solutions.
• The generalized Benjamin-Bona-Mahony equation in n with singular initial data
• Convergence of solution to nonlinear dispersive equations
• Existence and Uniqueness for Periodic Solutions of the Benjamin–Bona–Mahony Equation
• 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.
• Convergence of difference schemes with high resolution for conservation laws
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Model equations for long waves in nonlinear dispersive systems

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