Written by a well-known expert in the field, the focus of this book is on an innovative mathematical and numerical 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).
Written by a well-known expert in the field, the focus of this book is on an innovative mathematical and numerical 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).
Prof. Benoit Perthame ENS/DMA 45, rue d'Ulm; F-75230 Paris Cedex 05 FRANCE 33-1-44322036 phone 33-1-44322080 fax benoit.perthame@ens.fr French, born France, June 23 1959
Inhaltsangabe
* Foreword * 1: A brief overview of the kinetic approach * 2: The function chi, entropies and representation of nonlinear functions * 3: Kinetic formulation of multidimensional scalar conservation laws * 4: Uniqueness of solutions to scalar conservation laws and consequences * 5: Compactness, cancellation of oscillations and averaging lemmas * 6: Kinetic schemes for SCL * 7: Isentropic gas dynamics * 8: Kinetic schemes for gas dynamics * Appendices
* Foreword * 1: A brief overview of the kinetic approach * 2: The function chi, entropies and representation of nonlinear functions * 3: Kinetic formulation of multidimensional scalar conservation laws * 4: Uniqueness of solutions to scalar conservation laws and consequences * 5: Compactness, cancellation of oscillations and averaging lemmas * 6: Kinetic schemes for SCL * 7: Isentropic gas dynamics * 8: Kinetic schemes for gas dynamics * Appendices
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