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A numerical stability analysis of mean curvature flow of noncompact hypersurfaces with Type-II curvature blowup: II
David Garfinkle, James Isenberg, Dan Knopf +1
In previous work [GIKW21], we have presented evidence from numerical simulations that the Type-II singularities of mean curvature flow (MCF) of rotationally-symmetric, complete, no…
A numerical stability analysis of mean curvature flow of noncompact hypersurfaces with Type-II curvature blowup
David Garfinkle, James Isenberg, Dan Knopf +1
We present a numerical study of the local stability of mean curvature flow of rotationally symmetric, complete noncompact hypersurfaces with Type-II curvature blowup. Our numerical…
The Modelling of Degenerate Neck Pinch Singularities in Ricci Flow by Bryant Solitons
David Garfinkle, James Isenberg
In earlier work, carrying out numerical simulations of the Ricci flow of families of rotationally symmetric geometries on , we have found strong support for the contention that…
Critical behavior in Ricci flow
David Garfinkle, James Isenberg
We use numerical techniques to study the formation of singularities in Ricci flow. Comparing the Ricci flows corresponding to a one parameter family of initial geometries on S^3 wi…