Hyperbolic Conservation Laws in Continuum Physics

Hyperbolic Conservation Laws in Continuum Physics

by Constantine M. Dafermos
     
 

ISBN-10: 354064914X

ISBN-13: 9783540649144

Pub. Date: 01/28/2000

Publisher: Springer-Verlag New York, LLC

This exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may direct and drive the analysis. The reader should have a certain mathematical sophistication and be…  See more details below

Overview

This exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may direct and drive the analysis. The reader should have a certain mathematical sophistication and be familiar with the rudiments of the qualitative theory of partial differential equations, whereas the required notions from continuum physics are introduced from scratch.

Product Details

ISBN-13:
9783540649144
Publisher:
Springer-Verlag New York, LLC
Publication date:
01/28/2000
Series:
Grundlehren der Mathematischen Wissenschaften Series
Pages:
443
Product dimensions:
6.10(w) x 9.25(h) x (d)

Table of Contents

IBalance laws1
IIIntroduction to continuum physics25
IIIHyperbolic systems of balance laws51
IVThe Cauchy problem67
VEntropy and the stability of classical solutions87
VIThe L[superscript 1] theory for Scalar conservation laws123
VIIHyperbolic systems of balance laws in one-space dimension173
VIIIAdmissible shocks205
IXAdmissible wave fans and the Riemann problem239
XGeneralized characteristics295
XIGenuinely nonlinear Scalar conservation laws301
XIIGenuinely nonlinear systems of two conservation laws343
XIIIThe random choice method405
XIVThe front tracking method and standard Riemann semigroups443
XVConstruction of BV solutions by the vanishing viscosity method483
XVICompensated compactness511

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