Kinetic Formulation of Conservation Laws

Zusatztext The book is a good introduction into the theory of kinetic formulations of conservation laws written by the leading expert in the field. A list of open problems and the extensive bibliography also makes it a starting point for further research. Informationen zum Autor Prof. Benoit PerthameENS/DMA45, rue d'Ulm; F-75230 Paris Cedex 05 FRANCE33-1-44322036 phone[phone] [e-mail], born France, June 23 1959 Klappentext 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). Zusammenfassung 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). Inhaltsverzeichnis 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

Product details

• Authors: B. Perthame, Benoit Perthame, Perthame Benoit
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 13.02.2003
• EAN: 9780198509134
• ISBN: 978-0-19-850913-4
• Dimensions: 160 mm x 240 mm x 18 mm
• Series: Print on demand; Oxford Lecture Series in Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Natural sciences (general); MATHEMATICS / Applied, SCIENCE / Mechanics / Fluids, MATHEMATICS / Differential Equations / General, MATHEMATICS / Functional Analysis, Fluid mechanics, Differential calculus & equations, Applied mathematics, Calculus of variations, Physics: Fluid mechanics, Differential calculus and equations