Wednesday, September 25, 2019 - 11:10 in H10
Free boundary propagation and noise: numerical simulations and rigorous results
A talk in the Keine Reihe series by
Günther Grün from Universität Erlangen
| Abstract: |
Finite speed of propagation and occurrence of waiting time phenomena are
charact eristic features of degenerate parabolic equations. Most thoroughly, these issues
have been studied for deterministic porous-medium equations.In this talk, we address stochastic porous-medium equations and we study the question how
various versions of multiplicative noise (inside a source term – inside a convective term) influence expected values of waiting times and of propagation rates. For our quantitative results,
we use Monte-Carlo simulations based on convergent discretization schemes, qualitative
results are due to rigorous spde-analysis.
Our results are based on joint work with Julian Fischer, Hubertus Grillmeier, and Nicolas
Dirr.
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