Discrete Morse flow for Ricci flow and Porous Media equation

Details Discrete Morse flow for Ricci flow and Porous Media equation Discrete Morse flow for Ricci flow and Porous Media equation

2012-03-10

arxiv.org/abs/1203.2225v1

Mathematics

Differential Geometry

9 pages

Scientific paper

In this paper, we study the discrete Morse flow for the Ricci flow on football, which is the 2-sphere with removed north and south poles and with the metric $g_0$ of constant scalar curvature, and and for Porous media equation on a bounded regular domain in the plane. We show that with a suitable assumption about $g(0)$ we have a weak approximated discrete Morse flow for the approximated Ricci flow and Porous media equation on any time intervals.

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