Abstract
This article demonstrates the existence for all time of the nonparametric spacelike mean curvature flow with contact angle boundary condition, where the boundary manifold is a convex cylinder. We also consider the asymptotic behavior of the flow and prove that the flow converges to a spacelike hypersurface (unique up to translation) moving at a constant speed if solutions to an elliptic system exist.
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The research is partially supported by NSFC (No. 11171096), and Funds for Disciplines Leaders of Wuhan (No. Z201051730002).
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Gao, S., Li, G. & Wu, C. Translating spacelike graphs by mean curvature flow with prescribed contact angle. Arch. Math. 103, 499–508 (2014). https://doi.org/10.1007/s00013-014-0699-0
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DOI: https://doi.org/10.1007/s00013-014-0699-0