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.File in questo prodotto:
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