The inviscid limit for the 2D Navier-Stokes equations in bounded domains

<p style='text-indent:20px;'>We prove the inviscid limit for incompressible Navier-Stokes equations data that are analytic only near boundary in a general two-dimensional bounded domain. Our proof is direct, using vorticity formulation with nonlocal condition, explicit semigroup of linear Stokes problem flatten boundary, and standard wellposedness theory Sobolev spaces away from boundary.</p>