PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Kris Jenssen, Yuxi Zheng.

Title:Infinite-energy 2D statistical solutions to the equations of incompressible fluids
Seminar:Computational and Applied Mathematics Colloquium
Speaker:James P. Kelliher, University of California, Riverside
Abstract:
We develop the concept of an infinite-energy statistical solution to the Navier-Stokes and Euler equations in the whole plane. We use a velocity formulation with enough generality to encompass initial velocities having bounded vorticity, which includes the important special case of vortex patch initial data. Our approach is to use well-studied properties of statistical solutions in a ball of radius R to construct, in the limit as R goes to infinity, an infinite-energy solution to the Navier-Stokes equations. We then construct an infinite-energy statistical solution to the Euler equations by making a vanishing viscosity argument.

Room Reservation Information

Room Number:MB106
Date:12 / 18 / 2009
Time:03:35pm - 04:25pm