The Shizuta-Kawashima Condition for the Barotropic SHTC Two Fluid Model

Autor:	Thein, Ferdinand
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35L03 35Q35 76Txx
Druh dokumentu:	Working Paper
Popis:	Recently the barotropic two fluid model belonging to the class of \emph{symmetric hyperbolic thermodynamically compatible} (SHTC) systems was studied in detail in \cite{Thein2022}. There the question was raised whether the dissipative structure introduced by the source terms satisfies the Shizuta-Kawashima condition. This well-known condition is a sufficient criterion for the existence of global smooth solutions of the studied system. In this work we exploit the dissipative structure of the system under consideration and verify that the Shizuta-Kawashima condition holds. Comment: Submitted and accepted for the proceedings of the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. (HYP2022)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.14134 Zobrazit plný text záznamu View this record from Arxiv