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Multi-dimensional hyperbolic partial differential equations
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Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

Sylvie Benzoni-Gavage and Denis Serre

Abstract

This book presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear initial boundary value problems, before moving on to nonlinear problems, including shock waves. The book finishes with a discussion of the application of hyperbolic PDEs to gas dynamics, culminating with the shock wave analysis for real fluids.

Keywords: Cauchy problem, linear problem, nonlinear problem, shock waves

Bibliographic Information

Print publication date: 2006 Print ISBN-13: 9780199211234
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780199211234.001.0001

Authors

Affiliations are at time of print publication.

Sylvie Benzoni-Gavage, author
Université Claude Bernard Lyon I, France

Denis Serre, author
ENS de Lyon, France

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