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Stability of Cahn-Hilliard fronts

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Bricmont, Jean [UCL] Kupiainen, Antti [UCL] Taskinen, J

We prove stability of the kink solution of the Cahn-Hilliard equation partial derivative(t)u = partial derivative(x)(2)(-partial derivative(x)(2)u - u/2 + u(3)/2), x is an element of R. The proof is based on an inductive renormalization group method, and we obtain detailed asymptotics of the solution as t --> infinity. We prove stability of the kink solution of the Cahn-Hilliard equation partial derivative(t)u = partial derivative(x)(2)(-partial derivative(x)(2)u - u/2 + u(3)/2), x is an element of R. The proof is based on an inductive renormalization group method, and we obtain detailed asymptotics of the solution as t --> infinity. (C) 1999 John Wiley & Sons, Inc.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1999
Language Anglais
Journal information "Communications on Pure and Applied Mathematics" - Vol. 52, no. 7, p. 839-871 (1999)
Peer reviewed yes
Publisher John Wiley & Sons Inc (New York)
issn 0010-3640
e-issn 1097-0312
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Links
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Bibliographic reference Bricmont, Jean ; Kupiainen, Antti ; Taskinen, J. Stability of Cahn-Hilliard fronts. In: Communications on Pure and Applied Mathematics, Vol. 52, no. 7, p. 839-871 (1999)
Permanent URL http://hdl.handle.net/2078.1/44432