Contemporary Mathematics 2004; 109 pp; softcover Volume: 353 ISBN10: 0821832786 ISBN13: 9780821832783 List Price: US$43 Member Price: US$34.40 Order Code: CONM/353
 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 multiphasic mass transport problem
 Y. Brenier  Extension of the MongeKantorovich 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. CorderoErausquin  Nonsmooth differential properties of optimal transport
 D. CorderoErausquin, 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
