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journal article
Modulation equations: Stochastic bifurcation in large domains
September 1, 2005
We consider the stochastic Swift-Hohenberg equation on a large domain near its change of stability. We show that, under the appropriate scaling, its solutions can be approximated by a periodic wave, which is modulated by the solutions to a stochastic Ginzburg-Landau equation. We then proceed to show that this approximation also extends to the invariant measures of these equations.
Type
journal article
Web of Science ID
WOS:000230356500011
Authors
Publication date
2005-09-01
Publisher
Published in
Volume
258
Issue
2
Start page
479
End page
512
Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
Available on Infoscience
September 17, 2024
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