The strong existence and the pathwise uniqueness of solutions with L∞-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

FLANDOLI, FRANCO;Maurelli, Mario
2016-01-01

Abstract

The strong existence and the pathwise uniqueness of solutions with L∞-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.
2016
Brzeźniak, Zdzisław; Flandoli, Franco; Maurelli, Mario
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/831814
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