Grain boundaries in the Swift-Hohenberg equation
نویسندگان
چکیده
We study the existence of grain boundaries in the Swift-Hohenberg equation. The analysis relies on a spatial dynamics formulation of the existence problem and a centre-manifold reduction. In this setting, the grain boundaries are found as heteroclinic orbits of a reduced system of ODEs in normal form. We show persistence of the leading-order approximation using transversality induced by wavenumber selection. Acknowledgments This work was partially supported by the Agence Nationale de la Recherche through grant ANR PREFERED (M.H.) and the National Science Foundation through grant NSF-DMS-0806614 (A.S.). Running head: Grain boundaries in the Swift-Hohenberg equation Corresponding author: Mariana Haragus, [email protected]
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تاریخ انتشار 2011