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arXiv · 2207.03174

Inviscid Limit for Stochastic Second-Grade Fluid Equations

Eliseo Luongo
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Abstract

We consider in a smooth and bounded two dimensional domain the convergence in the $L^2$ norm, uniformly in time, of the solution of the stochastic second-grade fluid equations with transport noise and no-slip boundary conditions to the solution of the corresponding Euler equations. We prove, that assuming proper regularity of the initial conditions of the Euler equations and a proper behavior of the parameters $\nu$ and $\alpha$, then the inviscid limit holds without requiring a particular dissipation of the energy of the solutions of the second-grade fluid equations in the boundary layer.

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Eliseo Luongo. 2022-07-07. Inviscid Limit for Stochastic Second-Grade Fluid Equations. https://doi.org/10.1007/s40072-023-00303-y

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