Handbook of Mathematical Fluid Dynamics

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Preface.
The Boltzman Equation and Fluid Dynamics (C. Cercignani). A Review of Mathematical Topics in Collisional Kinetic Theory (C. Villani). Viscous and/or Heat Conducting Compressible Fluids (E. Feireisl). Dynamic Flows with Liquid/Vapor Phase Transitions (H. Fan, M. Slemrod). The Cauchy Problem for the Euler Equations for Compressible Fluids (G.-Q. Chen, D. Wang). Stability of Strong Discontinuities in Fluids and MHD (A. Blokhin, Y. Trakhinin). On the Motion of a Rigid Body in a Viscous Liquid: A Mathematical Analysis with Applications (G.P. Galdi).