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Mathematical analysis of planar crystals grown from vapor in bounded domains
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2014 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

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
TRITA-MAT-E, 2014:51
National Category
URN: urn:nbn:se:kth:diva-150457OAI: diva2:749659
Subject / course
Educational program
Master of Science - Mathematics
Available from: 2014-09-24 Created: 2014-09-04 Last updated: 2014-09-24Bibliographically approved

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