Preprint 30/1998

Loss of convexity of simple closed curves moved by surface diffusion

Yoshikazu Giga and Kazuo Ito

Contact the author: Please use for correspondence this email.
Submission date: 06. Jul. 1998
Pages: 17
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) 
Bibtex

Abstract:
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.

18.10.2019, 02:10