Correspondence between a phase-field theory and a sharp-interface theory for crystal growth
- 1 February 1997
- journal article
- research article
- Published by Springer Nature in Continuum Mechanics and Thermodynamics
- Vol. 9 (1) , 33-60
- https://doi.org/10.1007/s001610050054
Abstract
No abstract availableKeywords
This publication has 17 references indexed in Scilit:
- A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropyPhysica D: Nonlinear Phenomena, 1996
- Continuum theory of thermally induced phase transitions based on an order parameterPhysica D: Nonlinear Phenomena, 1993
- Phase transitions and generalized motion by mean curvatureCommunications on Pure and Applied Mathematics, 1992
- Overview No. 98 I—Geometric models of crystal growthActa Metallurgica et Materialia, 1992
- Generation and propagation of interfaces for reaction-diffusion equationsJournal of Differential Equations, 1992
- Motion by mean curvature as the singular limit of Ginzburg-Landau dynamicsJournal of Differential Equations, 1991
- Fast Reaction, Slow Diffusion, and Curve ShorteningSIAM Journal on Applied Mathematics, 1989
- On the two-phase Stefan problem with interfacial energy and entropyArchive for Rational Mechanics and Analysis, 1986
- The molecular mechanism of solidificationActa Metallurgica, 1964
- The theory of liquid crystalsTransactions of the Faraday Society, 1933