内容简介: This book is a collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at the 2007 Shanghai Mathematics Summer School held at Fudan University, China, by world's leading experts in the field. The volume comprises five chapters that cover a range of topics from mathematical theory and numerical approximation of both incompressible and compressible fluid flows, kinetic theory and conservation laws, to statistical&nbs ... 目录: Preface Thomas Y. Hou, Xinwei Yu: Introduction to the Theory of Incompressible Inviscid Flows Denis Serre: Systems of Conservation Laws. Theory,Numerical Approximation and Discrete Shock Profiles Seiji Ukai, Tong Yang: Kinetic Theory and Conservation Laws:An Introduction Xiaoming Wang: Elementary Statistical Theories with Applications to Fluid Systems Yuxi Zheng: The Compressible Euler System in Two Space Dimensions
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