PDE, stochastic cascades, explosions, and the issue of symmetry breaking

Speaker: Radu Dascaliuc
Date: Monday 10/5/15
Place: 4PM in Deady 208

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.

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