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

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