Feireisl E., Novotný A. Singular Limits in Thermodynamics of Viscous Fluids

2nd Edition. — Springer International Publishing AG, 2017. — 558 p. — (Advances in Mathematical Fluid Mechanics) — ISBN: 978-3-319-63780-8.This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids.
"The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-Stokes-Fourier system several less complex systems of partial differential equations used e.g. in meteorology or astrophysics. However, the book contains also a detailed introduction to the modelling in mechanics and thermodynamics of fluids from the viewpoint of continuum physics. The book is very interesting and important. It can be recommended not only to specialists in the field, but it can also be used for doctoral students and young researches who want to start to work in the mathematical theory of compressible fluids and their asymptotic limits."Fluid Flow Modeling
Weak Solutions, A Priori Estimates
Existence Theory
Asymptotic Analysis: An Introduction
Singular Limits: Low Stratification
Stratified Fluids
Interaction of Acoustic Waves with Boundary
Problems on Large Domains
Vanishing Dissipation Limits
Acoustic Analogies
Appendix
Bibliographical Remarks