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Seminar Abstracts

Jim Kelliher, University of California, Riverside

Infinite-energy 2D statistical solutions to the equations of incompressible fluids

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.

THURSDAY, December 17, 2009
Time: 1:30 P.M.
Location: PPB 300