Viscous vortex patches

Here we investigate the inviscid limit for two dimensional incompressible Navier-Stokes equations when the initial data have striated vorticity (smooth vortex patches for instance). Using uniform estimates for transport-diffusion equations yields independent of the viscosity estimates for the lipschitzian norm of the velocity field. This entails a result of strong convergence for solutions with striated vorticity (thus for vortex patches) when viscosity tends to 0.