非線性守恒律流體力學(xué)方程組及相關(guān)主題

內(nèi)容概要

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 theories for fluid systems. Researchers and graduate students who want to work in this field will benefit from this essential reference as each chapter leads readers from the basics to the frontiers of the current research in these areas.

書籍目錄

PrefaceThomas Y. Hou, Xinwei Yu: Introduction to the Theory of Incompressible Inviscid FlowsDenis Serre: Systems of Conservation Laws. Theory,Numerical Approximation and Discrete Shock ProfilesSeiji Ukai, Tong Yang: Kinetic Theory and Conservation Laws:An IntroductionXiaoming Wang: Elementary Statistical Theories with Applications to Fluid SystemsYuxi Zheng: The Compressible Euler System in Two Space Dimensions

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