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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The self-similar expanding curve for the curvature flow equation
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by Hua-Huai Chern, Jong-Shenq Guo and Chu-Pin Lo PDF
Proc. Amer. Math. Soc. 131 (2003), 3191-3201 Request permission

Abstract:

We study a two-point free boundary problem for the curvature flow equation. By studying the corresponding nonlinear initial value problem, we obtain the existence and uniqueness of the forward self-similar solution of this problem. The corresponding curve is called the self-similar expanding curve. We also derive the asymptotic stability of this curve.
References
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Additional Information
  • Hua-Huai Chern
  • Affiliation: Department of Computer and Information Sciences, National Taiwan Ocean University, 2, Pei-Ning Road, Keelung, Taiwan
  • Email: felix@cs.ntou.edu.tw
  • Jong-Shenq Guo
  • Affiliation: Department of Mathematics, National Taiwan Normal University, 88, S-4 Ting Chou Road, Taipei 117, Taiwan
  • Email: jsguo@math.ntnu.edu.tw
  • Chu-Pin Lo
  • Affiliation: Department of Applied Mathematics, Providence University, 200, Chung-Chi Road, Shalu, Taichung County 433, Taiwan
  • Email: cplo@pu.edu.tw
  • Received by editor(s): May 16, 2002
  • Published electronically: April 30, 2003
  • Communicated by: David S. Tartakoff
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 3191-3201
  • MSC (2000): Primary 35B60, 34A12, 35B35
  • DOI: https://doi.org/10.1090/S0002-9939-03-07055-2
  • MathSciNet review: 1992860