Aku-Jaakko Alexis Kammonen: Mathematical analysis of planar crystals grown from vapor in bounded domains
Time: Wed 2014-09-24 10.15 - 11.15
Location: Room 3733, Lindstedtsvägen 25, 7th floor, Department of mathematics, KTH
The quasi-static evolution of planar crystals grown from supersaturation or dilute solutions are studied. A crystal is assumed to be an m-gon at all time, but not necessarily convex, in a domain with smooth boundary. The equations are of Stefan type coupled with the Gibbs-Thomson relation. We show local in time existence of solutions.