A global existence result for the semigeostrophic equations in three dimensional convex domains
Analysis of PDEs
2012-10-18 v2
Abstract
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
Cite
@article{arxiv.1205.5435,
title = {A global existence result for the semigeostrophic equations in three dimensional convex domains},
author = {Luigi Ambrosio and Maria Colombo and Guido De Philippis and Alessio Figalli},
journal= {arXiv preprint arXiv:1205.5435},
year = {2012}
}
Comments
17 pages, no figures