Elaine Cozzi, Department of Mathematical Sciences, Carnegie Mellon University.
Ideal Incompressible Fluids with Continuous Vorticity
We study the regularity of solutions to the two-dimensional Euler equations when initial vorticity is uniformly continuous and in a critical or subcritical Besov space. We show that under these assumptions on the initial data, the solution will lose at most an arbitrarily small amount of Besov regularity over any finite time interval.
TUESDAY, November 6, 2007