On 2x2 systems of conservation laws with fluxes that are entropies
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Date
2003-03-13
Authors
Junk, Michael
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this article, we study systems of conservation laws with two dependent and two independent variables which have the property that the fluxes are entropies. Several characterizations of such flux functions are presented. It turns out, that the corresponding systems automatically possess a large class of additional entropies, they are closely related to a kinetic equation, and, in the case of strict hyperbolicity, they can be decoupled into two independent Burgers' equations. The isentropic Euler equations with zero or cubic pressure laws are the most prominent examples of such systems, but other examples are also presented.
Description
Keywords
Nonlinear conservation laws, Entropies, Kinetic formulation
Citation
Junk, M. (2003). On 2x2 systems of conservation laws with fluxes that are entropies. <i>Electronic Journal of Differential Equations, 2003</i>(26), pp. 1-21.
Rights
Attribution 4.0 International