Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle

Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
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DOI:
10.1007/bf01234317
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发表时间:
1994
影响因子:
2.1
通讯作者:
S. Altschuler;Lang Wu
S. Altschuler;Lang Wu
中科院分区:
数学2区
文献类型:
--
作者:
S. Altschuler;Lang Wu

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在这项工作中,我们研究了由平均曲率流演化的凸区域上的曲面。在这里,我们指定表面与边界圆柱的接触角。我们证明了解收敛于只通过平移移动的解。
In this work, we study surfaces over convex regions in ℝ2which are evolving by the mean curvature flow. Here, we specify the angle of contact of the surface to the boundary cylinder. We prove that solutions converge to ones moving only by translation.