Inviscid limit for 2D stochastic Navier–Stokes equations

Fernanda Cipriano and Iván Torrecilla

Stochastic Processes and their Applications, 2015, vol. 125, issue 6, 2405-2426

Abstract: 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.

Keywords: Stochastic Navier–Stokes equations; Stochastic Euler equations; Navier slip boundary conditions; Vanishing viscosity; Boundary layer; Turbulence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:125:y:2015:i:6:p:2405-2426

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DOI: 10.1016/j.spa.2015.01.005

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