Local Solutions for Stochastic Navier Stokes Equations
Alain Bensoussan, Jens Frehse (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this article we consider local solutions for stochastic Navier Stokes equations, based on the approach of Von Wahl, for the deterministic case. We present several approaches of the concept, depending on the smoothness available. When smoothness is available, we can in someway reduce the stochastic equation to a deterministic one with a random parameter. In the general case, we mimic the concept of local solution for stochastic differential equations.