TY - JOUR
T1 - Nonparametric Mean Curvature Flow with Nearly Vertical Contact Angle Condition
AU - Gao , Zhenghuan
AU - Ma , Xinan
AU - Wang , Peihe
AU - Weng , Liangjun
JO - Journal of Mathematical Study
VL - 1
SP - 28
EP - 55
PY - 2021
DA - 2021/01
SN - 54
DO - http://doi.org/10.4208/jms.v54n1.21.02
UR - https://global-sci.org/intro/article_detail/jms/18597.html
KW - Mean curvature flow, prescribed contact angle, asymptotic behavior, capillary problem.
AB - <p style="text-align: justify;">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.</p>