Discrete Morse flow for Ricci flow and porous medium equation
2018 | journal article. A publication with affiliation to the University of Göttingen.
Jump to: Cite & Linked | Documents & Media | Details | Version history
Documents & Media
Details
- Authors
- Ma, Li; Witt, Ingo
- Abstract
- In this paper, we study the discrete Morse flow for the Ricci flow on the American football, which is the 2-sphere with the north and south poles removed and equipped with a metric g0 of constant scalar curvature, and for the porous medium equation on a bounded regular domain in the plane. We show that under suitable assumptions on the initial metric g(0) one has a weak approximate discrete Morse flow for the approximated Ricci flow and porous medium equation on any time interval.
- Issue Date
- 2018
- Journal
- Communications in Nonlinear Science and Numerical Simulation
- Organization
- Mathematisches Institut
- ISSN
- 1007-5704
- Language
- English