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arXiv:1205.5435 [math.AP]AbstractReferencesReviewsResources

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

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

Published 2012-05-24, updated 2012-10-13Version 2

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.

Comments: 17 pages, no figures
Categories: math.AP
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