A FINITE TIME RESULT FOR VANISHING VISCOSITY IN THE PLANE WITH NONDECAYING

Abstract

Abstract. Assuming that initial velocity has finite energy and initial vorticity is bounded in the plane, we show that the unique solutions of the Navier-Stokes equations converge to the unique solution of the Euler equations in the L ∞-norm uniformly over finite time as viscosity approaches zero. We also establish a rate of convergence. 1

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