Event Type:

Department Colloquium

Date/Time:

Monday, October 5, 2015 - 16:00 to 17:00

Location:

the University of Oregon Campus

Local Speaker:

Abstract:

I will talk about a probabilistic cascade structure that can be naturally associated with certain partial differential equations and how it can be used to study well-posedness questions.

In the context of the still unsolved uniqueness problem for the 3D Navier-Stokes equations, our aim will be to see how the explosion properties of such cascades help establish a connection between the uniqueness of symmetry-preserving (self-similar) solutions and the uniqueness of the general problem.

Based on the joint work with N. Michalowski, E. Thomann, and E. Waymire.