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Influence of the phase diagram on the diffuse interface thickness and on the microstructure formation in a phase-field model for binary alloy

✍ Scribed by Michael Selzer; Britta Nestler; Denis Danilov

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
546 KB
Volume
80
Category
Article
ISSN
0378-4754

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Existence of solutions to a phase-field
Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy
✍ J. Rappaz; J. F. Scheid πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 180 KB πŸ‘ 2 views

We investigate the well-posedness of a phase-"eld model for the isothermal solidi"cation of a binary alloy due to Warren}Boettinger [12]. Existence of weak solution as well as regularity and uniqueness results are established under Lipschitz and boundedness assumptions for the non-linearities. A max