Loss of convexity of simple closed curves moved by surface diffusion
Yoshikazu Giga and Kazuo Ito
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Submission date: 06. Jul. 1998
published in: Topics in nonlinear analysis / J. Escher (ed.)
Basel ; Boston ; Berlin : Birkhäuser, 1999. - P. 305 - 320
(Progress in nonlinear differential equations and their applications ; 35)
We rigorously prove that there exists a simple, strictly convex, smooth closed curve which loses convexity but stays simple without developing singularities when it moves by its surface diffusion for a short time.