Abstract
Abstract We summarize in this note a few theoretical and numerical results described with more details in the forthcoming paper [5] devoted to a new phase field model for approximating mean curvature flows. Our work is motivated by the simulation of multiphase mean curvature flows with possibly inhomogeneous surface tensions and mobility coefficients. The key aspect of our model is to incorporate the mobilities not in the phase field energy (which is conventionally the case) but in the metric which determines the gradient flow. We show the consistency of such approach by a formal analysis of the sharp interface limit. We also propose an efficient numerical scheme which allows us to illustrate the advantages of the model on various examples, as the wetting of droplets on solid surfaces or the simulation of nanowires growth generated by the so-called vapor-liquid-solid method.
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