A GLOBAL EXISTENCE RESULT FOR THE SEMIGEOSTROPHIC EQUATIONS IN THREE DIMENSIONAL CONVEX DOMAINS

作者:Ambrosio Luigi*; Colombo Maria; De Philippis Guido; Figalli Alessio
来源:Discrete and Continuous Dynamical Systems, 2014, 34(4): 1251-1268.
DOI:10.3934/dcds.2014.34.1251

摘要

Exploiting recent regularity estimates for the Monge-Ampere 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.

  • 出版日期2014-4