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

Maria Colombo
2014
Journal paper

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.

Official source

https://infoscience.epfl.ch/record/273873?ln=en

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A first-order primal-dual method with adaptivity to local smoothness

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We consider the problem of finding a saddle point for the convex-concave objective

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, where

f

is a convex function with locally Lipschitz gradient and

g

is convex and possibly non-smooth. We propose an ...

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