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.

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