Phase transition and minimal surfaces for non local operators

July 8, 2009 University of Porto

Speaker: Luis Caffarelli (about)
Abstract: Movement by mean curvature, i.e, when a surface evolves with normal speed proportional to its mean curvature, appears in the modelling of phase transition phenomena , for instance as a limit of phase field models. In the case of slow decay of long range interactions, the corresponding limiting transition surface moves proportionally to an "integral version" of mean curvature. We will describe this phenomena, and the geometric properties of the corresponding "integral minimal surfaces".


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