Control and Free Boundaries

Thursday, March 6th 11:30-12:15, 2019
TIMON Room at DeustoTech, University of Deusto.

Borjan Geshkovski
PhD student at DyCon, Universidad Autónoma de Madrid (UAM), Spain.

Free boundary problems (also called moving interface problems) are systems of partial differential equations in a domain, a portion of whose boundary is unknown a priori. This portion is called a free boundary. We summarize some of the important developments related to the analysis and controllability of non-stationary free boundary problems, and present an outline for attacking our current problem of interest, the porous medium equation.