Andreas Minne: What is a... Free boundary problem?
Andreas Minne, KTH
Tid: Fr 2011-10-07 kl 13.15 - 14.15
Plats: Room 3721, Department of Mathematics, KTH
Ämnesområde: KTH/SU Graduate Student Seminar
In many partial differential equations (PDEs), the domain we would like to consider is not known a priori. In other words, in a "normal" PDE we only have to solve for an unknown function since the domain is given whereas a free boundary problem is a PDE that has to be solved for an unknown function and an unknown domain. I will speak about the fundamentals of such PDEs.
A concrete comparison is to calculate the temperature (unknown function) in a metal cube (given domain), and the temperature (unknown function) in an ice cube (unknown domain since it melts).