This volume is the result of the Summer School on Mass Transportation Methods in Kinetic Theory and Hydrodynamics held in Ponta Delgada (Azores, Portugal). It contains both survey and research articles on methods of optimal mass transport and applications in physics. Among the many important contributors are L. Caffarelli, M. Loss, and C. Villani. The material is suitable for graduate students and research mathematicians interested in methods of mass transport.

Readership

Graduate students and research mathematicians interested in methods of mass transport.

Table of Contents

• J.-D. Benamou, Y. Brenier, and K. Guittet -- Numerical analysis of a multi-phasic mass transport problem
• Y. Brenier -- Extension of the Monge-Kantorovich theory to classical electrodynamics
• L. A. Caffarelli -- The Monge Ampere equation and optimal transportation
• E. Carlen and M. Loss -- Logarithmic Sobolev inequalities and spectral gaps
• D. Cordero-Erausquin -- Non-smooth differential properties of optimal transport
• D. Cordero-Erausquin, W. Gangbo, and C. Houdré -- Inequalities for generalized entropy and optimal transportation
• C. Villani -- Trend to equilibrium for dissipative equations, functional inequalities and mass transportation