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Nonparametric Mean Curvature Flow with Nearly Vertical Contact Angle Condition

Nonparametric Mean Curvature Flow with Nearly Vertical Contact Angle Condition
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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.

Author Details

Zhenghuan Gao

Xinan Ma

Peihe Wang

Liangjun Weng

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