Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility | Zendy

Roberta Dal Passo | Zendy; Lorenzo Giacomelli | Zendy; Amy Novick-Cohen | Zendy

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Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility

Author(s) -

Roberta Dal Passo,

Lorenzo Giacomelli,

Amy Novick-Cohen

Publication year - 1999

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/9

Subject(s) - degenerate energy levels , cahn–hilliard equation , allen–cahn equation , mathematical economics , mathematical physics , mathematics , physics , mathematical analysis , partial differential equation , quantum mechanics

In one space dimension, we prove existence 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

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