Open AccessA global existence result for the semigeostrophic equations in three dimensional convex domains
Author(s) -
Luigi Ambrosio,
Maria Colombo,
Guido De Philippis,
Alessio Figalli
Publication year - 2013
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2014.34.1251
Subject(s) - regular polygon , mathematics , pure mathematics , mathematical analysis , mathematical economics , geometry
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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