Calculus of Variations and Geometric Measure Theory
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L. Ambrosio - M. Colombo - G. De Philippis - A. Figalli

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

created by colombom on 24 May 2012
modified by figalli on 05 Feb 2013


Accepted Paper

Inserted: 24 may 2012
Last Updated: 5 feb 2013

Journal: Discrete Contin. Dyn. Syst.
Year: 2012


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

Keywords: optimal transportation, Semigeostrophic equations


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