Hyperbolic Systems of Balance Laws: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003 / Edition 1

Hyperbolic Systems of Balance Laws: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003 / Edition 1

by Alberto Bressan, Denis Serre, Mark Williams, Kevin Zumbrun
     
 

ISBN-10: 354072186X

ISBN-13: 9783540721864

Pub. Date: 07/20/2007

Publisher: Springer Berlin Heidelberg

This volume includes four lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan introduces the vanishing viscosity approach and clearly explains the building blocks of the theory. Serre focuses on existence and stability for discrete shock profiles. The lectures by Williams and Zumbrun deal with

Overview

This volume includes four lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan introduces the vanishing viscosity approach and clearly explains the building blocks of the theory. Serre focuses on existence and stability for discrete shock profiles. The lectures by Williams and Zumbrun deal with the stability of multidimensional fronts.

Product Details

ISBN-13:
9783540721864
Publisher:
Springer Berlin Heidelberg
Publication date:
07/20/2007
Series:
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, #1911
Edition description:
2007
Pages:
356
Product dimensions:
6.14(w) x 9.21(h) x 0.77(d)

Table of Contents

P. Marcati: Preface.- A. Bressan: BV Solutions to Hyperbolic Systems by Vanishing Viscosity.- D. Serre: Discrete Shock Profiles: Existence and Stability.- M. Williams: Stability of Multidimensional Viscous Shocks.- K. Zumbrun: Planar Stability Criteria for Viscous Shock Waves of Systems with Real Viscosity.- A. Bressan: Tutorial on Center Manifold Theorem.

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