Some Current Topics on Nonlinear Conservation Laws: Lectures at the Morningside Center of Mathematics, 1 - Brossura

Brossura

ISBN 10: 0821819658 ISBN 13: 9780821819654

Casa editrice: Amer Mathematical Society, 2000

Riassunto

This volume resulted from a year-long program at the Morningside Center of Mathematics at the Academia Sinica in Beijing. It presents an overview of nonlinear conversation laws and introduces developments in this expanding field. Zhouping Xin's introductory overview of the subject is followed by lecture notes of leading experts who have made fundamental contributions to this field of research. A. Bressan's theory of $-well-posedness for entropy weak solutions to systems of nonlinear hyperbolic conversation laws in the class of viscosity solutions is one of the most important results in the past two decades; G. Chen discusses weak convergence methods and various applications to many problems; P. Degond details mathematical modelling of semi-conductor devices; B. Perthame describes the theory of asymptotic equivalence between conservation laws and singular kinetic equations; Z. Xin outlines the recent development of the vanishing viscosity problem and nonlinear stability of elementary wave-a major focus of research in the last decade; and the volume concludes with Y. Zheng's lecture on incompressible fluid dynamics. This collection of lectures represents previously unpublished expository and research results of experts in nonlinear conservation laws and is an excellent reference for researchers and advanced graduate students in the areas of nonlinear partial differential equations and nonlinear analysis. Titles in this series are co-published with International Press, Cambridge, MA.

Su questo libro

Product Description

Book by None

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2000
• ISBN 10: 0821819658
• ISBN 13: 9780821819654
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 226
• Redattore: Hsiao Ling, Xin Zhouping