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© 2017

Singular Limits in Thermodynamics of Viscous Fluids

Benefits

  • 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

Book

Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Table of contents

  1. Front Matter
    Pages i-xlii
  2. Eduard Feireisl, Antonín Novotný
    Pages 1-19
  3. Eduard Feireisl, Antonín Novotný
    Pages 21-47
  4. Eduard Feireisl, Antonín Novotný
    Pages 49-144
  5. Eduard Feireisl, Antonín Novotný
    Pages 145-165
  6. Eduard Feireisl, Antonín Novotný
    Pages 167-219
  7. Eduard Feireisl, Antonín Novotný
    Pages 221-262
  8. Eduard Feireisl, Antonín Novotný
    Pages 263-312
  9. Eduard Feireisl, Antonín Novotný
    Pages 313-367
  10. Eduard Feireisl, Antonín Novotný
    Pages 369-408
  11. Eduard Feireisl, Antonín Novotný
    Pages 409-428
  12. Eduard Feireisl, Antonín Novotný
    Pages 429-500
  13. Eduard Feireisl, Antonín Novotný
    Pages 501-505
  14. Back Matter
    Pages 507-524

About this book

Introduction

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)

Keywords

Dissipation Magnetohydrodynamics Navier-Stokes-Fourier Nonlinear Systems Partial Differential Equations Rhe Single Limits Thermodynamics Viscous Fluids fluid dynamics fluid mechanics partial differential equation

Authors and affiliations

  1. 1.ASCR Praha Mathematical InstitutePraha 1Czech Republic
  2. 2.Université de Toulon, IMATHLa GardeFrance

Bibliographic information

  • Book Title Singular Limits in Thermodynamics of Viscous Fluids
  • Authors Eduard Feireisl
    Antonín Novotný
  • Series Title Advances in Mathematical Fluid Mechanics
  • Series Abbreviated Title Adv.in Mathematical Fluid Mechanics (Birkhäuser)
  • DOI https://doi.org/10.1007/978-3-319-63781-5
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-63780-8
  • Softcover ISBN 978-3-319-87633-7
  • eBook ISBN 978-3-319-63781-5
  • Series ISSN 2297-0320
  • Series E-ISSN 2297-0339
  • Edition Number 2
  • Number of Pages XLII, 524
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Partial Differential Equations
    Classical and Continuum Physics
  • Buy this book on publisher's site
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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)