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.

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

Ambrosio, Luigi;Colombo, Rinaldo Mario;De Philippis, Guido;
2014-01-01

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.
2014
34
4
1251
1268
https://arxiv.org/abs/1205.5435
Ambrosio, Luigi; Colombo, Rinaldo Mario; De Philippis, Guido; Figalli, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15912
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