Inviscid limit for stochastic second-grade fluid equations
Springer Science and Business Media LLC - Trang 1-54 - 2023
Tóm tắt
We consider in a smooth bounded and simply connected 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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