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.
|Number of pages||36|
|Journal||Archive for Rational Mechanics and Analysis|
|Early online date||19 Jan 2016|
|Publication status||Published - Jul 2016|