Abstract
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 independant 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.
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