Rearrangement, convection, convexity and entropy

Author:

Brenier Yann1

Affiliation:

1. CNRS, FR 2800, Université de Nice Sophia, Parc Valrose, FR06108 Nice, France

Abstract

The concepts of convexity and entropy play a crucial role in the mathematical theory of hyperbolic systems of conservation laws. We show that they also play an important role in the mathematical analysis of convection theory, through the mathematical concept of rearrangement.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference24 articles.

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3. Polar factorization and monotone rearrangement of vector-valued functions

4. Topics in Optimal Transportation

5. Optimal Transport

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