Curvature Driven Interface Evolution

作者: Harald Garcke

DOI: 10.1365/S13291-013-0066-2

关键词:

摘要: … interface model. We derive the Allen-Cahn equation, the Cahn-Hilliard equation and the phase field system as gradient flows and relate them to sharp interface evolution … the evolution …

参考文章(194)
Carlo Mantegazza, Lecture Notes on Mean Curvature Flow ,(2011)
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin, Multi-index Mittag-Leffler Functions Springer Monographs in Mathematics. pp. 129- 164 ,(2014) , 10.1007/978-3-662-43930-2_6
Robert V. Kohn, Felix Otto, Upper Bounds on Coarsening Rates Communications in Mathematical Physics. ,vol. 229, pp. 375- 395 ,(2002) , 10.1007/S00220-002-0693-4
C. M. Elliott, Zheng Songmu, Global Existence and Stability of Solutions to the Phase Field Equations Birkhäuser Basel. pp. 46- 58 ,(1990) , 10.1007/978-3-0348-7301-7_4
C. Dupaix, D. Hilhorst, I. N. Kostin, The Visous Cahn–Hilliard Equation as a Limit of the Phase Field Model: Lower Semicontinuity of the Attractor Journal of Dynamics and Differential Equations. ,vol. 11, pp. 333- 353 ,(1999) , 10.1023/A:1021985631123
P. I. Plotnikov, V. N. Starovoitov, Stefan Problem with Surface Tension as a Limit of the Phase Field Model Birkhäuser, Basel. pp. 263- 270 ,(1992) , 10.1007/978-3-0348-8627-7_30
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)
Luc Tartar, Topics in nonlinear analysis Université de Paris-Sud, Département de Mathématique. ,(1978)