Mathematical analysis of planar crystals grown from vapor in bounded domains
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
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.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:kth:diva-150457OAI: oai:DiVA.org:kth-150457DiVA: diva2:749659
Subject / course
Master of Science - Mathematics
Gustavsson, Björn, ProfessorGiga Yoshikazu, Prof.
Gustavsson, Björn, Professor