Publication

Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case

Maria Colombo
2012
Journal paper

Abstract

In this article we use new regularity and stability estimates for Alexandrov solutions to Monge-Ampere equations, recently established by De Philippis and Figalli [14], to provide global in time existence of distributional solutions to the semigeostrophic equations on the 2-dimensional torus, under very mild assumptions on the initial data. A link with Lagrangian solutions is also discussed.

Official source

https://infoscience.epfl.ch/record/274378?ln=en

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Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case

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Renormalized solutions to the continuity equation with an integrable damping term

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Renormalized solutions to the continuity equation with an integrable damping term

Sentiment analysis of informal textual communication in cyberspace