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.
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页码：107 / 142
页数：36
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