Inviscid limit for 2D stochastic Navier–Stokes equations

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.

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Year of publication:	2015
Authors:	Cipriano, Fernanda ; Torrecilla, Iván
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 125.2015, 6, p. 2405-2426
Publisher:	Elsevier
Subject:	Stochastic Navier–Stokes equations \| Stochastic Euler equations \| Navier slip boundary conditions \| Vanishing viscosity \| Boundary layer \| Turbulence

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011209775