A sharp estimate of the extinction time for the mean curvature flow

Barbara Brandolini, Barbara Brandolini, Carlo Nitsch, Cristina Trombetti, Cicalese

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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.
Original languageEnglish
Pages (from-to)551-557
Number of pages7
JournalApplied Mathematics Letters
Volume20
Publication statusPublished - 2007

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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