On The Relative Entropy Method For Hyperbolic-Parabolic Systems

Cleopatra Christoforou, Athanasios Tzavaras

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The work of Christoforou and Tzavaras (Arch Rat Mech Anal 229(1):1–52, 2018, [5]) on the extension of the relative entropy identity to the class of hyperbolic-parabolic systems whose hyperbolic part is symmetrizable is the context of this article. The general theory is presented and the derivation of the relative entropy identities for both hyperbolic and hyperbolic-parabolic systems is presented. The resulting identities are useful to provide measure valued weak versus strong uniqueness theorems as well as convergence results in the zero-viscosity limit. An application of this theory is given for the example of the system of thermoviscoelasticity.
Original languageEnglish (US)
Title of host publicationTheory, Numerics and Applications of Hyperbolic Problems I
PublisherSpringer Nature
Pages363-374
Number of pages12
ISBN (Print)9783319915449
DOIs
StatePublished - Jun 23 2018

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