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Asymptotic analysis of compressible, viscous, and heat conducting fluids
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SYSNO ASEP 0444396 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Asymptotic analysis of compressible, viscous, and heat conducting fluids Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID Source Title Nonlinear Dynamics in Partial Differential Equations. - Tokyo : Mathematical Society of Japan, 2015 / Ei S.-I. ; Kawashima S. ; Kimura M. ; Mizumachi T. - ISBN 978-4-86497-022-8 Pages s. 1-33 Number of pages 34 s. Publication form Print - P Action 4th MSJ-SI International Conference Nonlinear Dynamics in Partial Differential Equations Event date 12.09.2011-21.09.2011 VEvent location Kyushu Country JP - Japan Event type WRD Language eng - English Country JP - Japan Keywords Navier-Stokes-Fourier system ; long-time behavior ; scale analysis Subject RIV BA - General Mathematics R&D Projects GA201/09/0917 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000358751100001 Annotation This is a survey of recent results concerning the mathematical theory of compressible, viscous, and heat conducting fluids. Starting from the basic physical principles, notably the First and Second laws of thermodynamics, we introduce a concept of weak solutions to complete fluid systems and analyze their asymptotic behavior. In particular, the long time behavior and scale analysis will be performed. We also introduce a new concept of relative entropy for the system and show how it can be used in the problem of weak-strong uniqueness and the inviscid limits. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
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