Mathematical analysis of planar crystals grown from vapor in bounded domains
Detta är en Master-uppsats från KTH/Matematik (Avd.)
Sammanfattning: 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.
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