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arXiv · 1512.03742

On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms

Yoshikazu Giga·Hiroyoshi Mitake·Hung V. Tran
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Abstract

We investigate a model equation in the crystal growth, which is described by a level-set mean curvature flow equation with driving and source terms. We establish the well-posedness of solutions, and study the asymptotic speed. Interestingly, a new type of nonlinear phenomena in terms of asymptotic speed of solutions appears, which is very sensitive to the shapes of source terms.

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Yoshikazu Giga, Hiroyoshi Mitake, Hung V. Tran. 2015-12-11. On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms. https://arxiv.org/abs/1512.03742

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