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.Sample Chapter(s)Chapter 1: Introduction to the Theory of Incompressible Inviscid Flows (1,917 KB)Contents: Introduction to the Theory of Incompressible Inviscid Flows (T Y Hou & X-W Yu)Systems of Conservation Laws. Theory, Numerical Approximation and Discrete Shock Profiles (D Serre)Kinetic Theory and Conservation Laws: An Introduction (S Ukai & T Yang)Elementary Statistical Theories with Applications to Fluid Systems (X-M Wang)The Compressible Euler System in Two Space Dimensions (Y Zheng)Readership: Graduate students and researchers in applied mathematics.

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