A global existence result for the semigeostrophic equations in three dimensional convex domains

Luigi Ambrosio; Maria Colombo; Guido De Philippis; Alessio Figalli

doi:10.3934/dcds.2014.34.1251

A global existence result for the semigeostrophic equations in three dimensional convex domains

Luigi Ambrosio, Maria Colombo, Guido De Philippis, Alessio Figalli

Mathematics

Research output: Contribution to journal › Article

Abstract

Exploiting recent regularity estimates for the Monge-Ampère equation, under some suitable assumptions on the initial data we prove globalin-time existence of Eulerian distributional solutions to the semigeostrophic equations in 3-dimensional convex domains.

Original language	English (US)
Pages (from-to)	1251-1268
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	34
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2014.34.1251
State	Published - Apr 1 2014

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Keywords

Optimal transportation
Semigeostrophic equations

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

Ambrosio, L., Colombo, M., De Philippis, G., & Figalli, A. (2014). A global existence result for the semigeostrophic equations in three dimensional convex domains. Discrete and Continuous Dynamical Systems- Series A, 34(4), 1251-1268. https://doi.org/10.3934/dcds.2014.34.1251

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Access to Document

10.3934/dcds.2014.34.1251