Kinetic decomposition for kinetic models of BGK type.

DOI10.1016/S0022-0396(02)00175-4zbMath1052.35124MaRDI QIDQ1811794

Yanyan Li

Publication date: 17 June 2003

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

zbMATH Keywords

kinetic formulationaveraging lemmasmicroscopic scale

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Nonlinear first-order PDEs (35F20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (3)

Kinetic decomposition for singularly perturbed higher order partial differential equations ⋮ Nonlinear diffusive-dispersive limits for scalar multidimensional conservation laws ⋮ Diffusion-dispersion limits for multidimensional scalar conservation laws with source terms

Cites Work

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• A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
• Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
• KINETIC DECOMPOSITION OF APPROXIMATE SOLUTIONS TO CONSERVATION LAWS: APPLICATION TO RELAXATION AND DIFFUSION-DISPERSION APPROXIMATIONS*
• A limiting case for velocity averaging
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Contractive relaxation systems and the scalar multidimensional conservation law
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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