Grain boundaries in the Swift–Hohenberg equation
2012 ◽
Vol 23
(6)
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pp. 737-759
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Keyword(s):
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 ordinary differential equations in normal form. We show persistence of the leading-order approximation using transversality induced by wavenumber selection.
Keyword(s):
2000 ◽
Vol 18
(3-4)
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pp. 255-268
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2003 ◽
Vol 13
(1)
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pp. 27-63
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2003 ◽
Vol 177
(1-4)
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pp. 175-202
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Keyword(s):
2018 ◽
Vol 376
(2117)
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pp. 20170188
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1997 ◽
Vol 453
(1956)
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pp. 181-203
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1995 ◽
Vol 450
(1938)
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pp. 193-198
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