http://worldcat.org/entity/work/id/863299651

Hyperbolic Systems of Balance Laws Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1421, 2003 00

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.

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