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  1. 1. Mathematical analysis of planar crystals grown from vapor in bounded domains

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Alexis Kammonen; [2014]
    Nyckelord :;

    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. LÄS MER