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arXiv · 1205.5435

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

Luigi Ambrosio·Maria Colombo·Guido De Philippis·Alessio Figalli
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Abstract

Exploiting recent regularity estimates for the Monge-Ampère 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.

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Luigi Ambrosio, Maria Colombo, Guido De Philippis, Alessio Figalli. 2012-10-13. A global existence result for the semigeostrophic equations in three dimensional convex domains. https://arxiv.org/abs/1205.5435

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