Non-Parametric Mean Curvature Flow with Prescribed Contact Angle in Riemannian Products
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
Julkaistu sarjassa
Analysis and Geometry in Metric SpacesPäivämäärä
2022Tekijänoikeudet
© 2022 J.-B. Casteras et al., published by De Gruyter.
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.
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De GruyterISSN Hae Julkaisufoorumista
2299-3274Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/104559197
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