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Section: New Results

Local Martingale and Pathwise Solutions for an Abstract Fluids Model

Participant : Arnaud Debussche.

In the first article [23] , we establish the existence and uniqueness of both local martingale and local pathwise solutions of an abstract nonlinear stochastic evolution system. The primary application of this abstract framework is to infer the local existence of strong, pathwise solutions to the 3D primitive equations of the oceans and atmosphere forced by a nonlinear multiplicative white noise. In the second article [24] global existence is obtained.