Kato's type theorems for the convergence of Euler-Voigt equations to Euler equations with Drichlet boundary conditions

After investigating existence and uniqueness of the global strong solutions for Euler-Voigt equations under Dirichlet conditions, we obtain the Kato's type theorems for the convergence of the Euler-Voigt equations to Euler equations. More precisely, the necessary and sufficient conditions that the solution of Euler-Voigt equation converges to the one of Euler equations, as \begin{document}$ \alpha\to 0 $\end{document} , can be obtained.