Existence and Uniqueness for Stochastic 2D Euler Flows with Bounded Vorticity

被引：39

作者：

Brzezniak, Zdzislaw ^{[2
]}

Flandoli, Franco ^{[1
]}

Maurelli, Mario ^{[3
]}

机构：

[1] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy

[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[3] TUB, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2016年 / 221卷 / 01期

关键词：

EQUATIONS; DYNAMICS;

D O I：

10.1007/s00205-015-0957-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The strong existence and the pathwise uniqueness of solutions with -vorticity of the 2D stochastic Euler equations are proved. The noise is multiplicative and it involves the first derivatives. A Lagrangian approach is implemented, where a stochastic flow solving a nonlinear flow equation is constructed. The stability under regularizations is also proved.

引用

页码：107 / 142

页数：36

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