On the Intermediate Surface Diffusion Flow
作者： Joachim Escher , Kazuo Ito
DOI: 10.1007/978-3-0348-7893-7_10
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摘要: The intermediate surface diffusion flow is a nonlocal geometric evolution law with two physical parameters. We survey known results of this flow, such as existence results, the limiting motion concerning parameter, and self-intersections solution surfaces. Some new on loss convexity singularities solutions are also announced.
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Y. Giga, K. Ito, On pinching of curves moved by surface diffusion Preprint Series of Department of Mathematics, Hokkaido University. ,vol. 379, pp. 1- 12 ,(1997)
K. Ito, Loss of convexity of compact hypersurfaces moved by surface diffusion Preprint Series of Department of Mathematics, Hokkaido University. ,vol. 433, pp. 1- 20 ,(1998)
Joachim Escher, Gieri Simonett, Moving Surfaces and Abstract Parabolic Evolution Equations Birkhäuser, Basel. pp. 183- 212 ,(1999) , 10.1007/978-3-0348-8765-6_10
Gerhard Huisken, The volume preserving mean-curvature flow Crelle's Journal. ,vol. 382, pp. 35- 48 ,(1987)
Yoshikazu Giga, Kazuo Ito, Loss of convexity of simple closed curves moved by surface diffusion Preprint Series of Department of Mathematics, Hokkaido University. ,vol. 409, pp. 305- 320 ,(1999) , 10.1007/978-3-0348-8765-6_14
Jean E. Taylor, John W. Cahn, Linking anisotropic sharp and diffuse surface motion laws via gradient flows Journal of Statistical Physics. ,vol. 77, pp. 183- 197 ,(1994) , 10.1007/BF02186838
J.W. Cahn, J.E. Taylor, Overview no. 113 surface motion by surface diffusion Acta Metallurgica et Materialia. ,vol. 42, pp. 1045- 1063 ,(1994) , 10.1016/0956-7151(94)90123-6
Joachim Escher, Yoshikazu Giga, Kazuo Ito, On a limiting motion and self-intersections for the intermediate surface diffusion flow Journal of Evolution Equations. ,vol. 2, pp. 349- 364 ,(2002) , 10.1007/S00028-002-8092-Z
Kai-Seng CHOU, A blow-up criterion for the curve shortening flow by surface diffusion Hokkaido Mathematical Journal. ,vol. 32, pp. 1- 19 ,(2003) , 10.14492/HOKMJ/1350652421
Matthew A. Grayson, The shape of a figure-eight under the curve shortening flow. Inventiones Mathematicae. ,vol. 96, pp. 177- 180 ,(1989) , 10.1007/BF01393973