Incompressible Flows of an Ideal Fluid with Unbounded Vorticity
Tuesday, October 9, 2001 - 11:00am - 12:00pm
Mikhail Vishik (The University of Texas at Austin)
We discuss solutions to the Euler equations of an ideal incompressible fluid in dimension 2 and higher with special attention to function classes described in terms of the wavelets coefficients. In dimension 2 both existence and uniqueness can be proved for classes of flows that contain essentially unbounded functions. In dimension 3 where the existence of weak solutions with bounded vorticity is open the local in time results are proved for certain classes of flows with vorticity discontinuous at one point.