Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, April 20, 2007 - 05:00

Location:

Gilkey 104

Event Link:

Local Speaker:

Abstract:

The Lagrangian Averaged Navier-Stokes equations is a regularization, depending on a parameter $alpha ge 0$, of Navier-Stokes equations ($alpha = 0$) designed as a turbulence model in place of Navier-Stokes for numerical computations. While regularizations of Navier-Stokes date back to Leray, the LANSalpha model is regarded as a physically more realistic model than its predecessors in this area. In this talk we will describe how to use a combination of probabilistic and functional/harmonic analysis to obtain (small ball) global existence, uniqueness and a rate of convergence as $alpha o 0$. This is based on joint work with Larry Chen, Ronald Guenther, Enrique Thomann at OSU, and Sun-Chul Kim, Chung Ang University.