Hyperbolic systems of balance laws : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003 / Alberto Bressan [and others] ; editor, Pierangelo Marcati
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
Summary
The present Cime volume includes 4 lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressan??'s notes start with an extensive review of hyperbolic conservation laws. Then he introduces the vanishing viscosity approach and explains clearly the building blocks of the theory in particular the crucial role of the decomposition by travelling waves. Serre focuses on existence and stability for discrete shock profiles, he reviews the existence both in the rational than in the irrational cases and gives a concise introduction to the use
Bibliography
Includes bibliographical references
Notes
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English
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