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Title 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
Published Berlin : Springer ; Firenze : Fondazione C.I.M.E., ©2007

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Description 1 online resource (xii, 346 pages) : illustrations
Series Lecture notes in mathematics, 0075-8434 ; 1911
Lecture notes in mathematics (Springer-Verlag) ; 1911
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
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 Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
English
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
Subject Differential equations, Hyperbolic -- Congresses
Shock waves -- Mathematics -- Congresses
Differential equations, Hyperbolic
Erhaltungssatz
Hyperbolisches Differentialgleichungssystem
Hyperbolische differentiaalvergelijkingen.
Equações diferenciais parciais hiperbólicas (congressos)
Singularidades (congressos)
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Cetraro (2003)
Kongress.
Form Electronic book
Author Bressan, Alberto, 1956-
Marcati, P. A
Centro internazionale matematico estivo
ISBN 9783540721871
3540721878
354072186X
9783540721864
9786610865048
6610865043
1280865040
9781280865046