Geodesic
Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
Roberta Dal Passo1 ; Lorenzo Giacomelli2 ; Amy Novick-Cohen3
1Università di Roma, Italy
2Università di Roma La Sapienza, Italy
3Technion - Israel Institute of Technology, Haifa, Israel
Interfaces and free boundaries, Tome 1 (1999) no. 2, pp. 199-226

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DOI

We prove existence in one space dimension of weak solutions for the Neumann problem for a degenerate parabolic system consisting of a fourth-order and a second-order equation with singular lower-order terms. This system arises in the description of phase separation and ordering in binary alloys.
DOI : 10.4171/ifb/9
Classification : 46-XX, 60-XX
Mots-clés : Neumann problem, degenerate parabolic systems, phase separation, binary alloys

Roberta Dal Passo  1   ; Lorenzo Giacomelli  2   ; Amy Novick-Cohen  3

1 Università di Roma, Italy
2 Università di Roma La Sapienza, Italy
3 Technion - Israel Institute of Technology, Haifa, Israel 
Roberta Dal Passo; Lorenzo Giacomelli; Amy Novick-Cohen. Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility. Interfaces and free boundaries, Tome 1 (1999) no. 2, pp. 199-226. doi: 10.4171/ifb/9
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