Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case
Analysis of PDEs
2012-10-16 v4
Abstract
In this paper we use the new regularity and stability estimates for Alexandrov solutions to Monge-Ampere equations estabilished by G.De Philippis and A.Figalli to provide a global in time existence of distributional solutions to a semigeostrophic equation on the 2-dimensional torus, under very mild assumptions on the initial data. A link with Lagrangian solutions is also discussed.
Keywords
Cite
@article{arxiv.1111.7202,
title = {Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case},
author = {Luigi Ambrosio and Maria Colombo and Guido De Philippis and Alessio Figalli},
journal= {arXiv preprint arXiv:1111.7202},
year = {2012}
}
Comments
16 pages, no figures