We consider in a smooth and bounded two dimensional domain the convergence in the L2 norm, uniformly in time, of the solution of the stochastic Navier-Stokes equations with additive noise and no-slip boundary conditions to the solution of the corresponding Euler equations. We prove, under general regularity on the initial conditions of the Euler equations, that assuming the dissipation of the energy of the solution of the Navier-Stokes equations in a Kato type boundary layer, then the inviscid limit holds.

Inviscid limit for stochastic Navier-Stokes equations under general initial conditions

Luongo, Eliseo
2024

Abstract

We consider in a smooth and bounded two dimensional domain the convergence in the L2 norm, uniformly in time, of the solution of the stochastic Navier-Stokes equations with additive noise and no-slip boundary conditions to the solution of the corresponding Euler equations. We prove, under general regularity on the initial conditions of the Euler equations, that assuming the dissipation of the energy of the solution of the Navier-Stokes equations in a Kato type boundary layer, then the inviscid limit holds.
2024
Settore MAT/06 - Probabilita' e Statistica Matematica
Additive noise; Boundary layer; Energy dissipation; Inviscid limit; No-slip boundary conditions; Turbulence; vanishing viscosity limit; euler equations; flow
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/142284
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