Inviscid limit for 2D stochastic Navier-Stokes equations

Cipriano, Fernanda, and Ivan Torrecilla. "Inviscid limit for 2D stochastic Navier-Stokes equations." STOCHASTIC PROCESSES AND THEIR APPLICATIONS. 125 (2015): 2405-2426.


{We consider stochastic Navier-Stokes equations in a 2D-bounded domain with the Navier with friction boundary condition. We establish the existence and the uniqueness of the solutions and study the vanishing viscosity limit. More precisely, we prove that solutions of stochastic Navier Stokes equations converge, as the viscosity goes to zero, to solutions of the corresponding stochastic Euler equations. (C) 2015 Elsevier B.V. All rights reserved.}