Recent advances in the theory and applications of mass transport : Summer School on Mass Transportation Methods in Kinetic Theory and Hydrodynamics, September 4-9, 2000, Ponta Delgada, Azores, Portugal
著者
書誌事項
Recent advances in the theory and applications of mass transport : Summer School on Mass Transportation Methods in Kinetic Theory and Hydrodynamics, September 4-9, 2000, Ponta Delgada, Azores, Portugal
（Contemporary mathematics, v. 353）
American Mathematical Society, c2004
- : pbk
- タイトル別名
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Advances in mass transport
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Numerical analysis of a multi-phasic mass transport problem by J.-D. Benamou, Y. Brenier, and K. Guittet Extension of the Monge-Kantorovich theory to classical electrodynamics by Y. Brenier The Monge Ampere equation and optimal transportation by L. A. Caffarelli Logarithmic Sobolev inequalities and spectral gaps by E. Carlen and M. Loss Non-smooth differential properties of optimal transport by D. Cordero-Erausquin Inequalities for generalized entropy and optimal transportation by D. Cordero-Erausquin, W. Gangbo, and C. Houdre Trend to equilibrium for dissipative equations, functional inequalities and mass transportation by C. Villani.
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