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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

Kwon, Young-Sam

关键词: Conservation laws with source terms;    Trace theorem;    Kinetic formulation;    Initial value problems;    Averaging lemma;   

DOI  :  10.1016/j.jde.2008.11.022

来源: Elsevier

【 摘 要 】

In this paper we consider conservation laws with diffusion and dispersion terms. We study the convergence for approximation applied to conservation laws with source terms. The proof is based on the Hwang and Tzavaras's new approach [Seok Hwang, Athanasios E. Tzavaras. Kinetic decomposition of approximate solutions to conservation laws: Application to relaxation and diffusion-dispersion approximations, Comm. Partial Differential Equations 27 (5-6) (2002) 1229-1254] and the kinetic formulation developed by Lions, Perthame, and Tadmor [P.-L. Lions, B. Perthame, E. Tadmor, A kinetic formulation of multidimensional scalar conservation laws and related equations, J. Amer. Math. Soc. 7 (1) (1994) 169-191]. (c) 2008 Published by Elsevier Inc.

【 授权许可】

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