Rearrangement, convection, convexity and entropy | Zendy

Yann Brenier | Zendy

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Rearrangement, convection, convexity and entropy

Author(s) -

Yann Brenier

Publication year - 2013

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2012.0343

Subject(s) - convexity , mathematical theory , convection , conservation law , entropy (arrow of time) , mathematics , principle of maximum entropy , mathematical model , mathematical economics , statistical physics , theoretical physics , mathematical analysis , physics , mechanics , thermodynamics , economics , statistics , quantum mechanics , financial economics

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.

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