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arXiv · 2012.02490

Anisotropic curvature flow of immersed networks

Heiko Kroener·Matteo Novaga·Paola Pozzi
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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.

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Heiko Kroener, Matteo Novaga, Paola Pozzi. 2020-12-04. Anisotropic curvature flow of immersed networks. https://arxiv.org/abs/2012.02490

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