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

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Brand new. We distribute directly for the publisher. 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. Read more Show Less

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Overview

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.

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Product Details

  • ISBN-13: 9780821832783
  • Publisher: American Mathematical Society
  • Publication date: 6/10/2004
  • Series: Contemporary Mathematics Series , #353
  • Pages: 109
  • Product dimensions: 70.00 (w) x 10.00 (h) x 2.50 (d)

Table of Contents

Numerical analysis of a multi-phasic mass transport problem 1
Extension of the Monge-Kantorovich theory to classical electrodynamics 19
The Monge Ampere equation and optimal transportation 43
Logarithmic Sobolev inequalities and spectral gaps 53
Non-smooth differential properties of optimal transport 61
Inequalities for generalized entropy and optimal transportation 73
Trend to equilibrium for dissipative equations, functional inequalities and mass transportation 95
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