Bounded solutions to the 2D Euler equations

Start: 03/27/2013 - 1:15pm
End  : 03/27/2013 - 2:15pm

Applied Math Seminar

Jim Kelliher (UC-Reverside)


I will give an overview of recent work on the existence and uniqueness of weak solutions to the 2D Euler equations in the full plane or the exterior of a single obstacle having bounded velocity and bounded vorticity. The class of all such solutions generalizes the solutions obtained originally by Phillipe Serfati in 1995 for the full plane, which have sublinear pressure. For more general solutions a condition at infinity, in terms of the velocity or the pressure, holds weakly, and the circulation about the obstacle can vary for an exterior domain. Much of this work is joint with Ambrose, Lopes Filho, and Nussenzveig Lopes.

RS 105