Vanishing viscosity in the plane for nondecaying velocity and vorticity
Abstract
Description
Assuming that initial velocity and initial vorticity are bounded in the plane, we show that on a sufficiently short time interval the unique solutions of the Navier-Stokes equations converge uniformly to the unique solution of the Euler equations as viscosity approaches zero. We also establish a rate of convergence.
Submitted for publication
Submitted for publication