Geodesic
Buffer phenomenon in the spatially one-dimensional Swift--Hohenberg equation
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. I, Tome 268 (2010), pp. 137-154.

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We consider a boundary value problem for the spatially one-dimensional Swift–Hohenberg equation with zero Neumann boundary conditions at the endpoints of a finite interval. We establish that as the length $l$ of the interval increases while the supercriticality $\varepsilon$ is fixed and sufficiently small, the number of coexisting stable equilibrium states in this problem indefinitely increases; i.e., the well-known buffer phenomenon is observed. A similar result is obtained in the $2l$-periodic case. 
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     title = {Buffer phenomenon in the spatially one-dimensional {Swift--Hohenberg} equation},
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     url = {http://geodesic.mathdoc.fr/item/TM_2010_268_a10/}
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A. Yu. Kolesov; E. F. Mishchenko; N. Kh. Rozov. Buffer phenomenon in the spatially one-dimensional Swift--Hohenberg equation. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. I, Tome 268 (2010), pp. 137-154. http://geodesic.mathdoc.fr/item/TM_2010_268_a10/

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