Klingenberg, W., Lambert, B. orcid.org/0000-0002-5058-3158 and Scheuer, J. (2024) A capillary problem for spacelike mean curvature flow in a cone of Minkowski space. Journal of Evolution Equations, 25. 15. ISSN 1424-3199
Abstract
Consider a convex cone in three-dimensional Minkowski space which either contains the light cone or is contained in it. This work considers mean curvature flow of a proper spacelike strictly mean convex disc in the cone which is graphical with respect to its rays. Its boundary is required to have constant intersection angle with the boundary of the cone. We prove that the corresponding parabolic boundary value problem for the graph admits a solution for all time which rescales to a self-similarly expanding solution.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 The Author(s). This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Spacelike mean curvature flow; Capillary boundary condition |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 15 Jan 2025 12:21 |
Last Modified: | 15 Jan 2025 12:21 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s00028-024-01045-7 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:221824 |