WIAS Preprint No. 666, (2001)
On a model for phase separation in binary alloys driven by mechanical effects
Authors
- Bonetti, Elena
- Colli, Pierluigi
ORCID: 0000-0002-7921-5041 - Dreyer, Wolfgang
- Gilardi, Gianni
ORCID: 0000-0002-0651-4307 - Schimperna, Giulio
- Sprekels, Jürgen
ORCID: 0009-0000-0618-8604
2010 Mathematics Subject Classification
- 35K45 35K50 74N15 74N20 74N25 74M25
Keywords
- Free boundary value problems, phase-field models, phase transitions in mechanical stress fields, a priori estimates, existence, uniqueness
DOI
Abstract
This work is concerned with the mathematical analysis of a system of partial differential equations modeling the effect of phase separation driven by mechanical actions in binary alloys like tin/lead solders. The system combines the (quasistationary) balance of linear momentum with a fourth order evolution equation of Cahn_Hilliard type for the phase separation, and it is highly nonlinearly coupled. Existence and uniqueness results are shown.
Appeared in
- Phys. D, 165 (2002), pp. 48--65
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