PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker.

Title:Nonlinear and Nonlocal Evolution Equations Driven by Levy Diffusions: Porous Media and Evolutionary Ecology
Seminar:Seminar on Probability and its Application
Speaker:W.A. Woyczynski, Case Western Reserve University
Abstract:
Quasilinear evolution equations involving nonlocal generators can be often interpreted as hydrodynamic limits of interacting particle systems. However, for strongly nonlinear equations, such as the porous medium equation, the probabilistic interpretation is more complex and leads to the so-called nonlinear McKean-Vlasov equations. In cases of branching processes the limiting description may even preserve a random fluctuation term in the resulting evolution equation. Such is the case in certain evolutionary population dynamics models.

Room Reservation Information

Room Number:MB106
Date:11 / 02 / 2012
Time:02:20pm - 03:20pm