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Anisotropic curvature flow of immersed networks
- Publication Year :
- 2020
-
Abstract
- We consider motion by anisotropic curvature of a network of three curves immersed in the plane meeting at a triple junction and with the other ends fixed. We show existence, uniqueness and regularity of a maximal geometric solution and we prove that, if the maximal time is finite, then either the length of one of the curves goes to zero or the $L^2$ norm of the anisotropic curvature blows up.<br />Comment: 39 pages, 1 figure
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2012.02490
- Document Type :
- Working Paper