Year: 2021
Author: Zhenghuan Gao, Xinan Ma, Peihe Wang, Liangjun Weng
Journal of Mathematical Study, Vol. 54 (2021), Iss. 1 : pp. 28–55
Abstract
For any bounded strictly convex domain $\Omega$ in $\mathbb{R}^n$ with smooth boundary, we find the prescribed contact angle which is nearly perpendicular such that nonparametric mean curvature flow with contact angle boundary condition converge to ones which move by translation. Subsequently, the existence and uniqueness of smooth solutions to the capillary problem without gravity on strictly convex domain are also discussed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v54n1.21.02
Journal of Mathematical Study, Vol. 54 (2021), Iss. 1 : pp. 28–55
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Mean curvature flow prescribed contact angle asymptotic behavior capillary problem.