Abstract
We study a non local evolution and define the interface in terms of a local equilibrium condition. We prove that in a diffusive scaling limit the local equilibrium condition propagates in time thus defining an interface evolution which is given by a motion by mean curvature. The analysis extend through all times before the appearance of singularities.
Citation
Paolo Buttà. Anna De Masi. "Fine structure of the interface motion." Differential Integral Equations 12 (2) 207 - 259, 1999. https://doi.org/10.57262/die/1367265630
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