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Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, December 3, 2004 - 04:00

Location:

Gilkey 113

Local Speaker:

Abstract:

The Navier-Stokes equations governing the velocity of incompressible fluids in 3 dimensions have been studied extensively over the last century. Important open questions still remain concerning the existence and uniqueness of smooth solutions for given initial velocity. The goal of this talk is to describe a representation of solutions in physical space as scaled expectations of functionals of a Markov branching process. If the forcing and initial data are jointly small enough in a certain function space this representation can be used to show that a weak solution to the Navier-Stokes equations exists and is unique for all time.

Abstract Link: