A Convex Entropy for a Hyperbolic System with Relaxation
نویسنده
چکیده
We explicitly construct a convex entropy function for a hyperbolic system with relaxation. This entropy is deened in the sense of Chen, Levermore and Liu 2], which resembles Boltzman's H-Theorem for kinetic equations. This construction follows the idea of Suliciu's energy function for a rate-type mixed hyperbolic-elliptic system 10]. Such an entropy will be useful in proving the entropy property of the relaxation schemes introduced by Jin and Xin for conservation laws 5].
منابع مشابه
Hyperbolic Systems with Relaxation :
Well{posedness of a constant{coeecient, rst{order, hyperbolic system is equivalent to the existence of a symmetrizer. This symmetrizer is usually constructed in Fourier space and generally depends on the wave number. Nevertheless, many physical systems have constant symmetrizers which deene a quadratic entropy. This paper presents physically relevant systems with relaxation which are stiiy well...
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