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Hyperbolic Systems of Balance Laws: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 14-21, 2003

Author: 


ISBN-13: 

9783540721864


ISBN: 

354072186X


Pub Date: 
Publisher:  Springer
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 focus...es on existence and stability for discrete shock profiles, he reviews the existence both in the rational and in the irrational cases and gives a concise introduction to the use of spectral methods for stability analysis. Finally the lectures by Williams and Zumbrun deal with the stability of multidimensional fronts. Williams' lectures describe the stability of multidimensional viscous shocks. Zumbrun discusses planar stability for viscous shocks with a realistic physical viscosity, and necessary and sufficient conditions for nonlinear stability.

Bressan, Alberto is the author of Hyperbolic Systems of Balance Laws: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 14-21, 2003, published 2007 under ISBN 9783540721864 and 354072186X. One hundred nine Hyperbolic Systems of Balance Laws: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 14-21, 2003 textbooks are available for sale on ValoreBooks.com, or buy new starting at $56.01.
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Hyperbolic Systems of Balance Laws: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 14-21, 2003

ISBN-13: 9783540721864


ISBN: 354072186X


Pub Date:
Publisher: Springer
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