The generalized BBM-Burgers equations: convergence results for conservation law with discontinuous flux function

DOI10.1080/00036811.2015.1015524zbMath1339.35181OpenAlexW2070676348WikidataQ58175976 ScholiaQ58175976MaRDI QIDQ2795611

Claudete M. Webler, Cezar I. Kondo

Publication date: 21 March 2016

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

Full work available at URL: https://doi.org/10.1080/00036811.2015.1015524

zbMATH Keywords

compensated compactnessH-measures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term ⋮ Analytical solution for the time fractional BBM-Burger equation by using modified residual power series method ⋮ A note on convergence of the solutions of Benjamin-Bona-Mahony type equations ⋮ Finite element method of BBM-Burgers equation with dissipative term based on adaptive moving mesh

Cites Work

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux
• Higher-order for the multidimensional generalized BBM-Burgers equation: Existence and convergence results
• Nonlinear elliptic systems with measure-valued right hand side
• Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term
• Higher order for the generalized BBM-burgers equation: existence and convergence results
• An existence result for scalar conservation laws using measure valued solutions.
• The generalized BBM-Burger equations with non-linear dissipative term: existence and convergence results
• 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

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