Discrete Morse flow for Ricci flow and Porous Media equation
Abstract
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 g0 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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