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.
Sebastian Urban Stich, Konstantin Mishchenko
Martin Jaggi, Sebastian Urban Stich, Amirkeivan Mohtashami
Volkan Cevher, Maria-Luiza Vladarean