KATO'S TYPE THEOREMS FOR THE CONVERGENCE OF EULER-VOIGT EQUATIONS TO EULER EQUATIONS WITH DRICHLET BOUNDARY CONDITIONS

摘要

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 alpha - 0, can be obtained.