On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces

URN to cite this document:: urn:nbn:de:bvb:355-epub-446708
DOI to cite this document:: 10.5283/epub.44670

Garcke, Harald ; Matioc, Bogdan-Vasile

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Date of publication of this fulltext: 02 Feb 2021 13:53

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Abstract

We show that the mean curvature flow for a closed and rotationally symmetric surface can be formulated as an evolution problem consisting of an evolution equation for the square of the function whose graph is rotated and two ODEs describing the evolution of the points of the evolving surface that lie on the rotation axis. For the fully nonlinear and degenerate parabolic problem we establish the ...