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

被引：19

作者：

Ambrosio, Luigi ^{[1
]}

Colombo, Maria ^{[1
]}

De Philippis, Guido ^{[2
]}

Figalli, Alessio ^{[3
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[2] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany

[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 04期

关键词：

Optimal transportation; semigeostrophic equations; MONGE-AMPERE EQUATION; TRANSPORT-EQUATION; CAUCHY-PROBLEM; REGULARITY; STABILITY;

D O I：

10.3934/dcds.2014.34.1251

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1251 / 1268

页数：18

共 28 条

[1] Transport equation and Cauchy problem for BV vector fields [J].