4.2 Article

Large time behaviour of solutions of the Swift-Hohenberg equation

Journal

COMPTES RENDUS MATHEMATIQUE
Volume 336, Issue 3, Pages 225-230

Publisher

EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/S1631-073X(03)00021-9

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We study the limiting profiles v of solutions of the Swift-Hohenberg equation on a one-dimensional domain (0, L) for different values of L. We identify those values of L for which v = 0, and discuss the size and the shape of v when it is nontrivial and a global minimiser of an associated energy functional.

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