A global existence result for the semigeostrophic equations in three dimensional convex domains
Ambrosio, Luigi · Colombo, Maria · De Philippis, Guido · Figalli, Alessio
Original · EN
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.
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