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VOL. 64 | 2015 Asymptotic analysis of compressible, viscous and heat conducting fluids
Eduard Feireisl

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

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.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35181
MathSciNet: MR3381190

Digital Object Identifier: 10.2969/aspm/06410001

Subjects:
Primary: 35E15, 35Q30, 35Q35

Rights: Copyright © 2015 Mathematical Society of Japan

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