Journal article
Mathematical existence of crystal growth with Gibbs-Thomson curvature effects
The Journal of geometric analysis, Vol.10(1), pp.1-100
03/2000
DOI: 10.1007/BF02921806
Abstract
This paper introduces and studies a mathematical evolution process which models one type of growth of a crystal as it freezes from a cold melt. The crystal freezes (melts) as rapidly as it can anywhere along its interface where the temperature is below (above) the local freezing temperature so that rate of growth is governed by the rate at which latent heat of fusion can diffuse. The model incorporates general Gibbs-Thomson relations between freezing temperatures and interface surface tension and general heat capacities and conductivities.
Details
- Title: Subtitle
- Mathematical existence of crystal growth with Gibbs-Thomson curvature effects
- Creators
- Fred Almgren - University of IowaLihe Wang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- The Journal of geometric analysis, Vol.10(1), pp.1-100
- Publisher
- Springer-Verlag
- DOI
- 10.1007/BF02921806
- ISSN
- 1050-6926
- eISSN
- 1559-002X
- Language
- English
- Date published
- 03/2000
- Academic Unit
- Mathematics
- Record Identifier
- 9984240863602771
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