Modulation equations: Stochastic bifurcation in large domains
File(s)0408016v1.pdf (252.42 KB)
Accepted version
Author(s)
Blomker, D
Hairer, M
Pavliotis, GA
Type
Journal Article
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.
Date Issued
2005-09-01
Date Acceptance
2004-12-02
Citation
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 258 (2), pp.479-512
ISSN
0010-3616
Publisher
SPRINGER
Start Page
479
End Page
512
Journal / Book Title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume
258
Issue
2
Copyright Statement
© 2005 Springer-Verlag Berlin Heidelberg. The final publication is available at https://dx.doi.org/10.1007/s00220-005-1368-8
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000230356500011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
AMPLITUDE EQUATION
SYSTEMS
NONLINEARITIES
SEMIGROUPS
VALIDITY
Publication Status
Published
Date Publish Online
2005-06-02