Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity

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Heidelberg : Springer

Abstract

Strong existence and pathwise uniqueness of solutions with L∞-vorticity of 2D stochastic Euler equations is proved. The noise is multiplicative and involves first derivatives. A Lagrangian approach is implemented, where a stochastic flow solving a nonlinear flow equation is constructed. Stability under regularization is also proved.

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