Singular perturbations of mean curvature flow
نویسندگان
چکیده
منابع مشابه
Singular Perturbations of Mean Curvature Flow
We introduce a regularization method for mean curvature flow of a submanifold of arbitrary codimension in the Euclidean space, through higher order equations. We prove that the regularized problems converge to the mean curvature flow for all times before the first singularity.
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An embedded curve is presented which under numerical simulation of the averaged mean curvature flow develops first a loss of embeddedness and then a singularity where the curvature becomes infinite, all in finite time. This leads to the conjecture that not all smooth embedded curves persist for all times under the averaged mean curvature flow.
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2007
ISSN: 0022-040X
DOI: 10.4310/jdg/1175266279