RELATIVE ENTROPY IN HYPERBOLIC RELAXATION*

Athanasios E. Tzavaras

Journal ArticleOPEN ACCESS

RELATIVE ENTROPY IN HYPERBOLIC RELAXATION*

Tzavaras A

Communications in Mathematical Sciences (2005) 3(2) 119-132

DOI: 10.4310/CMS.2005.v3.n2.a2

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Abstract

We provide a framework so that hyperbolic relaxation systems are endowed with a relative entropy identity. This allows a direct proof of convergence in the regime that the limiting solution is smooth.

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Tzavaras, A. E. (2005). RELATIVE ENTROPY IN HYPERBOLIC RELAXATION*. Communications in Mathematical Sciences, 3(2), 119–132. https://doi.org/10.4310/CMS.2005.v3.n2.a2

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RELATIVE ENTROPY IN HYPERBOLIC RELAXATION*

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Hyperbolic conservation laws with stiff relaxation terms and entropy

The second law of thermodynamics and stability

Convergence of the Vlasov-Poisson system to the incompressible Euler equations

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Relative Entropy and the Stability of Shocks and Contact Discontinuities for Systems of Conservation Laws with non-BV Perturbations

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