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;
2016
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.File in questo prodotto:
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