Kinetic Formulation of Conservation Laws

Benoît Perthame

210 pages, parution le 22/12/2002

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Résumé

Kinetic Formulation has received wide attention and Perthame is the person most responsible for it." T-P Liu, Department of Mathematics, Stanford, CA
"A well-known expert, who made some of the key breakthroughs in this area." A Bressan, SISSA, Trieste, Italy
"It has been known within the community that Benoit Perthame is writing such a book. The book is anticipated from the community and expected to fill a gap in the literature." A Tzavaras, Department of Mathematics, University of Wisconsin-Madison

Written by a well-known expert in the field, the focus of this book is on an innovative mathematical theory which applies to classical models of physics such as shock waves and balance laws. The text is based on early works in common with P.L. Lions (field medalist). Readership: This book will be of interest to researchers in partial differential equations, graduate level students, and engineers involved in the field of partial differential equations.

Presented with enough details to allow for use as an upper-level textbook
Contains both theoretical and numerical material
Includes a section with open problems
Relates kinetic theory and laws of conservation

Contents

A brief overview of the kinetic approach
The function X, entropies and representation of nonlinear functions
Kinetic formulation of multidimensional scalar conservation laws
Uniqueness of solutions to scalar conservation laws and consequences
Cancellation of oscillations, averaging lemmas, regularizing effects
Kinetic schemes for SCL
Isentropic gas dynamics
Kinetic schemes for gas dynamics

Appendices

L'auteur - Benoît Perthame

Ecole Normale Superieure, Paris

Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Benoît Perthame
Parution	22/12/2002
Nb. de pages	210
Format	16 x 24
Couverture	Relié
Poids	428g
Intérieur	Noir et Blanc
EAN13	9780198509134
ISBN13	978-0-19-850913-4