Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 5, 2018 - 12:00 to 13:00

Location:

STAG 160

Event Link:

Local Speaker:

Abstract:

Self-similar solutions of the Navier Stokes equations (NSE) have been considered as possible scenarios for the formation of singularities in the solutions of these equations. Branching processes were introduced by LeJan Sznitman to represent solutions of the NSE as expected values of a multiplicative functional. When self-similar solutions are considered, the resulting branching process inherits this characteristic. The talk, based on joint work with R Dascaliuc, N Michalowski and E Waymire, will focus on properties of the self -similar branching process associated with the NSE and possible avenues to explore symmetry breaking in the solutions and their uniqueness properties.