On Asymptotic Speed of Solutions to Level-Set Mean Curvature Flow Equations with Driving and Source Terms
نویسندگان
چکیده
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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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 48 شماره
صفحات -
تاریخ انتشار 2016