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Singular Limits in Thermodynamics of Viscous Fluids

  • Eduard Feireisl
  • Antonín Novotný

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

Table of contents

  1. Front Matter
    Pages i-xxxvi
  2. Pages 1-17
  3. Pages 43-126
  4. Pages 195-230
  5. Pages 285-301
  6. Pages 303-358
  7. Pages 359-362
  8. Back Matter
    Pages 363-382

About this book

Introduction

Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux.

As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

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

  • Eduard Feireisl
    • 1
  • Antonín Novotný
    • 2
  1. 1.Mathematical Institute AS CRPraha 1Czech Republic
  2. 2.IMATH and Département de MathématiquesUniversité du Sud Toulon-VarLa GardeFrance

Bibliographic information

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