On the Cauchy-Dirichlet problem for the stochastic porous medium equation with transport noise
Date
Tuesday, June 19, 2018 11:00 - 12:30
Speaker
Sebastian Hensel (IST Austria)
Location
Mondi Seminar Room 2, Central Building
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Jan Maas
Contact
This talk will be concerned with the one dimensional porous medium equation (PME) perturbed by Stratonovich transport noise. Due to the finite speed of propagation property of the porous medium equation, one may suspect that because of the nature of the noise term solutions to the Cauchy-Dirichlet problem die out after some finite time. Based on an introduction to parts of the theory of the deterministic and stochastic PME, I will discuss an approach to this problem which connects deterministic and probabilistic arguments.