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.
Original language | English (US) |
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Pages (from-to) | 1251-1268 |
Number of pages | 18 |
Journal | Discrete and Continuous Dynamical Systems- Series A |
Volume | 34 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2014 |
Keywords
- Optimal transportation
- Semigeostrophic equations
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics