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.

On a model for phase separation in binary alloys driven by mechanical effects / E. Bonetti, P. Colli, W. Dreyer, G. Gilardi, G. Schimperna, J. Sprekels. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - 165:1-2(2002), pp. 48-65.

On a model for phase separation in binary alloys driven by mechanical effects

E. Bonetti
Primo
;
2002

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.
Cahn-Hilliard equation; Existence and uniqueness; Linear elasticity; Mixture effects; Systems of partial differential equations; Applied Mathematics; Statistical and Nonlinear Physics
Settore MAT/05 - Analisi Matematica
2002
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/469787
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