Diffusion-dispersion limits for multidimensional scalar conservation laws with source terms

DOI10.1016/j.jde.2008.11.022zbMath1194.35260OpenAlexW2005619236MaRDI QIDQ1007260

Young-Sam Kwon

Publication date: 20 March 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.11.022

zbMATH Keywords

trace theoremkinetic formulationaveraging Lemma

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Numerical methods with controlled dissipation for small-scale dependent shocks

Cites Work

• Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation
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• KINETIC DECOMPOSITION OF APPROXIMATE SOLUTIONS TO CONSERVATION LAWS: APPLICATION TO RELAXATION AND DIFFUSION-DISPERSION APPROXIMATIONS*
• The small dispersion limit of the korteweg-de vries equation. ii
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• The small dispersion limit of the Korteweg-de Vries equation. I
• EXISTENCE OF STRONG TRACES FOR GENERALIZED SOLUTIONS OF MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
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• A limiting case for velocity averaging
• 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.
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Zero Diffusion-Dispersion Limits for Scalar Conservation Laws
• EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
• Strong traces for solutions of multidimensional scalar conservation laws

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