JournalsifbVol. 1, No. 2pp. 199–226

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

  • Roberta Dal Passo

    Università di Roma, Italy

  • Lorenzo Giacomelli

    Università di Roma La Sapienza, Italy

  • Amy Novick-Cohen

    Technion - Israel Institute of Technology, Haifa, Israel
Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility cover
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Abstract

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.

Cite this article

Roberta Dal Passo, Lorenzo Giacomelli, Amy Novick-Cohen, Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility. Interfaces Free Bound. 1 (1999), no. 2, pp. 199–226

DOI 10.4171/IFB/9