Literature DB >> 24249771

Rearrangement, convection, convexity and entropy.

Yann Brenier1.   

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.

Keywords:  Boussinesq approximation; Navier–Stokes equations; convection; convexity; entropy; optimal transport; rearrangement

Year:  2013        PMID: 24249771     DOI: 10.1098/rsta.2012.0343

Source DB:  PubMed          Journal:  Philos Trans A Math Phys Eng Sci        ISSN: 1364-503X            Impact factor:   4.226


  2 in total

1.  Entropy and convexity for nonlinear partial differential equations.

Authors:  John M Ball; Gui-Qiang G Chen
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-11-18       Impact factor: 4.226

2.  Kinetic Models for Topological Nearest-Neighbor Interactions.

Authors:  Adrien Blanchet; Pierre Degond
Journal:  J Stat Phys       Date:  2017-10-20       Impact factor: 1.548

  2 in total

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