The Role of Symmetry and Separation in Surface Evolution and Curve Shortening

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Broadbridge, P., Vassiliou, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147169
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Role of Symmetry and Separation in Surface Evolution and Curve Shortening / P. Broadbridge, P. Vassiliou // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ.

With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variables. One of the functionally separated solutions is the exact curve shortening flow of a closed, conve...