TY - GEN

T1 - On The Relative Entropy Method For Hyperbolic-Parabolic Systems

AU - Christoforou, Cleopatra

AU - Tzavaras, Athanasios

N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Christoforou would like to thank the organizers of XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications (Hyp2016) that took place in Aachen from August 1st until 5th of 2016 for the invitation and the warm hospitality.

PY - 2018/6/23

Y1 - 2018/6/23

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/628077

UR - https://link.springer.com/chapter/10.1007%2F978-3-319-91545-6_29

UR - http://www.scopus.com/inward/record.url?scp=85049375774&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-91545-6_29

DO - 10.1007/978-3-319-91545-6_29

M3 - Conference contribution

AN - SCOPUS:85049375774

SN - 9783319915449

SP - 363

EP - 374

BT - Theory, Numerics and Applications of Hyperbolic Problems I

PB - Springer Nature

ER -