The generalized BBM-Burger equations with non-linear dissipative term: existence and convergence results

DOI10.1080/00036810802428946zbMath1157.35425OpenAlexW2053511886MaRDI QIDQ3543527

Claudete M. Webler, Cezar I. Kondo

Publication date: 4 December 2008

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

Full work available at URL: https://doi.org/10.1080/00036810802428946

zbMATH Keywords

initial value problemdiscontinuous solutionsBenjamin-Bona-Mahonyconvergence of regularized solutions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Higher order for the generalized BBM-burgers equation: existence and convergence results ⋮ A note on convergence of the solutions of Benjamin-Bona-Mahony type equations ⋮ The generalized BBM-Burgers equations: convergence results for conservation law with discontinuous flux function

Cites Work

• Measure-valued solutions to conservation laws
• 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.
• Model equations for long waves in nonlinear dispersive systems