Nonlinear conservation laws, fluid systems and related topics : [collection of lecture notes mainly from the short courses given in the 2007 Shanghai Summer School on Nonlinear Conservation Laws, Fluid Systems and Related Topics at Fudan University, July

"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."--Jacket Introduction to the theory of incompressible inviscid flows / Thomas Y. Hou, Xinwei Yu -- Systems of conservation laws. Theory, numerical approximation and discrete shock profiles -- Denis Serre -- Kinetic theory and conservation laws : an introduction / Seiji Ukai, Tong Yang -- Elementary statistical theories with applications to fluid systems / Xiaoming Wang -- The compressible Euler system in two space dimensions / Yuxi Zheng A collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at 2007 Shanghai Mathematics Summer School held at Fudan University, China, by experts in the field. It covers a range of topics from mathematical theory and numerical approximation of incompressible and compressible fluid flows.