Abstract Our aim in this article is to show the local existence of pathwise solutions of the Euler equations driven by a general Levy noise, in all space dimensions and… Click to show full abstract
Abstract Our aim in this article is to show the local existence of pathwise solutions of the Euler equations driven by a general Levy noise, in all space dimensions and for strictly positive time almost surely. The Euler equations are considered in a regular domain with slip boundary condition, or with periodic boundary conditions or in the whole space. In addition, we prove that when all data are C ∞ in space, so is the solution.
               
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