Nonparametric Mean Curvature Flow with Nearly Vertical Contact Angle Condition

• 作者: Zhenghuan Gao Xinan Ma Peihe Wang Liangjun Weng
• 来源期刊: 数学研究
• 年，卷（期）: 2021,（1）
• 页码范围: 28-55
• 页数: 28页
• 语种: 英文
• DOI: 10.4208/jms.v54n1.21.02

摘要

For any bounded strictly convex domain ? in Rn with smooth boundary, we find the prescribed contact angle which is nearly perpendicular such that nonpara-metric 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.