Non-Parametric Mean Curvature Flow with Prescribed Contact Angle in Riemannian Products
Abstract
Assuming that there exists a translating soliton u∞ with speed C in a domain Ω and with prescribed contact angle on ∂Ω, we prove that a graphical solution to the mean curvature ow with the same prescribed contact angle converges to u∞ + Ct as t → ∞. We also generalize the recent existence result of Gao, Ma, Wang and Weng to non-Euclidean settings under suitable bounds on convexity of Ω and Ricci curvature in Ω.
Main Authors
Format
Articles
Research article
Published
2022
Series
Subjects
Publication in research information system
Publisher
De Gruyter
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202203151830Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
2299-3274
DOI
https://doi.org/10.1515/agms-2020-0132
Language
English
Published in
Analysis and Geometry in Metric Spaces
Citation
- Casteras, J.-B., Heinonen, E., Holopainen, I., & De Lira, J. H. (2022). Non-Parametric Mean Curvature Flow with Prescribed Contact Angle in Riemannian Products. Analysis and Geometry in Metric Spaces, 10(1), 31-39. https://doi.org/10.1515/agms-2020-0132
License
Copyright© 2022 J.-B. Casteras et al., published by De Gruyter.