Mathematics – Analysis of PDEs
Scientific paper
2007-08-21
Mathematics
Analysis of PDEs
38 Pages
Scientific paper
In this paper we study motion of surfaces of revolution under the mean
curvature flow. For an open set of initial conditions close to cylindrical
surfaces we show that the solution forms a "neck" which pinches in a finite
time at a single point. We also obtain a detailed description of the neck
pinching process.
Gang Zhou
Sigal Israel Michael
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