Ill-posedness results for some of the equations of hydrodynamics

Ill-posedness results for some of the equations of hydrodynamics

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Tarek Elgindi , NYU
Fine Hall 322

We will begin by presenting some new instability and ill-posedness results for the incompressible Euler equations. These ill-posedness results are based upon some special exact solutions to the 3D Euler equations which bring out both the non-locality and the non-linear nature of the vortex stretching term. We will then discuss a general ill-posedness result for a large class of equations arising in hydrodynamics.