Abstract
Exploiting recent regularity estimates for the Monge-Ampère equation, under some suitable assumptions on the initial data we prove globalin-time existence of Eulerian distributional solutions to the semigeostrophic equations in 3-dimensional convex domains.
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APA
Ambrosio, L., Colombo, M., De Philippis, G., & Figalli, A. (2014). A global existence result for the semigeostrophic equations in three dimensional convex domains. Discrete and Continuous Dynamical Systems- Series A, 34(4), 1251–1268. https://doi.org/10.3934/dcds.2014.34.1251
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