Advances in Mathematical Fluid Mechanics

Singular Limits in Thermodynamics of Viscous Fluids

Authors: Feireisl, Eduard, Novotný, Antonín

  • Introduction to problems involving singular limit based on the concept of weak or variational solutions
  • Up-to-date results on the existence for three kinds of singular limit equations
  • Self-contained treatment of the mathematical basics, proposed techniques, and related literature
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eBook $119.00
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  • ISBN 978-3-319-63781-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-63780-8
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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)

Table of contents (12 chapters)

  • Fluid Flow Modeling

    Feireisl, Eduard (et al.)

    Pages 1-19

  • Weak Solutions, A Priori Estimates

    Feireisl, Eduard (et al.)

    Pages 21-47

  • Existence Theory

    Feireisl, Eduard (et al.)

    Pages 49-144

  • Asymptotic Analysis: An Introduction

    Feireisl, Eduard (et al.)

    Pages 145-165

  • Singular Limits: Low Stratification

    Feireisl, Eduard (et al.)

    Pages 167-219

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-319-63781-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-3-319-63780-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Singular Limits in Thermodynamics of Viscous Fluids
Authors
Series Title
Advances in Mathematical Fluid Mechanics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-63781-5
DOI
10.1007/978-3-319-63781-5
Hardcover ISBN
978-3-319-63780-8
Series ISSN
2297-0320
Edition Number
2
Number of Pages
XLII, 524
Topics