Hyperbolic systems of balance laws : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003
Author(s)
Bibliographic Information
Hyperbolic systems of balance laws : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003
(Lecture notes in mathematics, 1911)
Springer, c2007
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Note
"Fondazione CIME, Roberto Conti"
Other authors: Denis Serre, Mark Williams, Kevin Zumbrun
Includes bibliographical references
http://dx.doi.org/10.1007/978-3-540-72187-1
Description and Table of Contents
Description
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.
Table of Contents
BV Solutions to Hyperbolic Systems by Vanishing Viscosity.- Discrete Shock Profiles: Existence and Stability.- Stability of Multidimensional Viscous Shocks.- Planar Stability Criteria for Viscous Shock Waves of Systems with Real Viscosity.
by "Nielsen BookData"