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.
Existence and Uniqueness for Stochastic 2D Euler Flows with Bounded Vorticity / Z. Brzeźniak, F. Flandoli, M. Maurelli. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 221:1(2016), pp. 107-142. [10.1007/s00205-015-0957-8]
Existence and Uniqueness for Stochastic 2D Euler Flows with Bounded Vorticity
M. Maurelli
2016
Abstract
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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