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).

• 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

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