Some results on the well-posedness of Euler-Voigt and Navier-Stokes-Voigt models

Abstract

We consider the Euler-Voigt equations and the Navier-Stokes-Voigt equations, which are obtained by an inviscid alpha-regularization from the corresponding equations. The main result we show is the structural stability of the system in term of the variations of both viscosity of regularization parameters.

References in corpus (2)

• On the convergence rate of the Euler-$\alpha$, an inviscid second-grade complex fluid, model to the Euler equations
• Convergence of approximate deconvolution models to the filtered Navier-Stokes Equations