Duration: 43:24

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We will discuss stochastic processes, Le Jan-Sznitman cascades, that can be associated with certain nonlinear PDE and how explosion of these cascades can be exploited to prove non-uniques for the associated Cauchy problems. In particular, we are interested in using these techniques to explore uniqueness problems for the 3D Navier-Stokes equations.

This research is a collaboration with E. Thomann and E. Waymire.

See more at https://www.microsoft.com/en-us/research/video/the-20th-northwest-probability-seminar-stochastic-explosions-in-branching-processes-and-non-uniqueness-for-nonlinear-pde/