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Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves (Lectures in Mathematics. ETH Zürich) [Paperback]

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Item description for Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves (Lectures in Mathematics. ETH Zürich) by Philippe G. Lefloch...

This book is a self-contained exposition of the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. The text covers the existence, uniqueness, and continuous dependence of classical (compressive) entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The study of nonclassical shock waves is based on the concept of a kinetic relation introduced by the author for general hyperbolic systems and derived from singular limits of hyperbolic conservation laws with balanced diffusion and dispersion terms. The systems of partial differential equations under consideration arise in many areas of continuum physics. No familiarity with the subject is assumed, so the book should be particularly suitable for graduate students and researchers interested in recent developments about nonlinear partial differential equations and the mathematical aspects of shock waves and propagating phase boundaries.

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Item Specifications...


Pages   294
Est. Packaging Dimensions:   Length: 0.5" Width: 6.5" Height: 9.25"
Weight:   1.3 lbs.
Binding  Softcover
Release Date   Sep 17, 2002
Publisher   Birkhäuser Basel
ISBN  3764366877  
ISBN13  9783764366872  


Availability  87 units.
Availability accurate as of Jan 23, 2017 03:51.
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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
2Books > Subjects > Science > General
3Books > Subjects > Science > Mathematics > Applied > Differential Equations
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Mathematical Analysis



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