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Modulation equations: Stochastic bifurcation in large domains
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UNSPECIFIED (2005) Modulation equations: Stochastic bifurcation in large domains. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 258 (2). pp. 479-512. doi:10.1007/s00220-005-1368-8 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-005-1368-8
Abstract
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | COMMUNICATIONS IN MATHEMATICAL PHYSICS | ||||
Publisher: | SPRINGER | ||||
ISSN: | 0010-3616 | ||||
Official Date: | September 2005 | ||||
Dates: |
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Volume: | 258 | ||||
Number: | 2 | ||||
Number of Pages: | 34 | ||||
Page Range: | pp. 479-512 | ||||
DOI: | 10.1007/s00220-005-1368-8 | ||||
Publication Status: | Published |
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