Overview
- This is a second edition with include updated material and developments
- This book gives an introduction to the problems involving singular limits based on the concept of weak or variational solutions
- This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids
Part of the book series: Advances in Mathematical Fluid Mechanics (AMFM)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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."
Milan Pokorný (zbMATH)
"This book is of the highest quality from every point of view. It presents, in a unified way, recent research material of fundament
al importance. It is self-contained, thanks to Chapter 3 (existence theory) and to the appendices. It is extremely well organized, and very well written. It is a landmark for researchers in mathematical fluid dynamics, especially those interested in the physical meaning of the equations and statements."Denis Serre (MathSciNet)
Reviews
“This second edition is still intended … to researchers and doctoral students that are interested in the mathematical theory of asymptotic analysis of heat conducting compressible viscous fluids.” (Luisa Consiglieri, zbMATH 1432.76002, 2020)
Authors and Affiliations
Bibliographic Information
Book Title: Singular Limits in Thermodynamics of Viscous Fluids
Authors: Eduard Feireisl, Antonín Novotný
Series Title: Advances in Mathematical Fluid Mechanics
DOI: https://doi.org/10.1007/978-3-319-63781-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-63780-8Published: 13 December 2017
Softcover ISBN: 978-3-319-87633-7Published: 31 August 2018
eBook ISBN: 978-3-319-63781-5Published: 24 November 2017
Series ISSN: 2297-0320
Series E-ISSN: 2297-0339
Edition Number: 2
Number of Pages: XLII, 524
Topics: Partial Differential Equations, Classical and Continuum Physics