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  Quarterly of Applied Mathematics
Quarterly of Applied Mathematics
Online ISSN 1552-4485; Print ISSN 0033-569X

Dynamic pattern formation in Swift-Hohenberg equations

Authors: Tung Hoang and Hyung Ju Hwang
Journal: Quart. Appl. Math. 69 (2011), 603-612
MSC (2000): Primary 35K50, 35B35, 92C15
Published electronically: April 26, 2011
MathSciNet review: 2850747
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Abstract: In this paper we study nonlinear instability in the Swift-Hohenberg equation. The short-time pattern formation under the fully nonlinear setting is rigorously characterized. For unstable constant equilibria, we investigate the nonlinear dynamics of patterns which occur within the time interval of existence.

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Additional Information

Tung Hoang
Affiliation: Department of Mathematics, State University of New York at Buffalo, New York

Hyung Ju Hwang
Affiliation: Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Korea

PII: S 0033-569X(2011)01260-1
Received by editor(s): March 24, 2010
Published electronically: April 26, 2011
Article copyright: © Copyright 2011 Brown University

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