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math.DG2011★ 3 cited
Stability of spherical collapse under mean curvature flow
Israel Michael Sigal, Wenbin Kong
We study the mean curvature flow of hypersurfaces in , with initial surfaces sufficiently close to the standard -dimensional sphere. The closeness is in the Sobolev no…
math.DG2011★ 10 cited
Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow
Zhou Gang, Dan Knopf, Israel Michael Sigal
We study surfaces evolving by mean curvature flow (MCF). For an open set of initial data that are -close to round, but without assuming rotational symmetry or positive mean cu…