Accepted Paper

Inserted: 30 nov 2011
Last Updated: 30 oct 2017

Journal: Comm. Partial Differential Equations
Year: 2012

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.

Tags: GeMeThNES
Keywords: optimal transportation, Lagrangian flow, Semigeostrophic equations

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