Article ID Journal Published Year Pages File Type
1710488 Applied Mathematics Letters 2007 7 Pages PDF
Abstract

We establish a pointwise comparison result for a nonlinear degenerate elliptic Dirichlet problem using an isoperimetric inequality involving the total mean curvature. In particular this result provides a sharp estimate for the extinction time of a class of compact surfaces, wider than the convex one, moving by mean curvature flow. Finally we present numerical experiments to compare our estimate with those known in literature.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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