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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/69146
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