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On the Amplitude Equations Arising at the Onset of the Oscillatory Instability in Pattern Formation
Citation
Vega de Prada, José Manuel 
ORCID: https://orcid.org/0000-0002-4307-9623
(1992).
On the Amplitude Equations Arising at the Onset of the Oscillatory Instability in Pattern Formation.
"SIAM Journal on Mathematical Analysis", v. 24
(n. 3);
pp. 603-617.
ISSN 0036-1410.
https://doi.org/10.1137/0524037.
Description
| Title: | On the Amplitude Equations Arising at the Onset of the Oscillatory Instability in Pattern Formation |
|---|---|
| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | SIAM Journal on Mathematical Analysis |
| Date: | September 1992 |
| ISSN: | 0036-1410 |
| Volume: | 24 |
| Subjects: | |
| Freetext Keywords: | pattern formation, oscillatory instability, amplitude equations, Ginzburg-Landau equations |
| Faculty: | E.T.S.I. Aeronáuticos (UPM) |
| Department: | Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
A well-known system of two amplitude equations is considered that describes the weakly nonlinear evolution of many nonequilibrium systems at the onset of the so-called oscillatory instability. Those equations depend on a small parameter, $\varepsilon $, that is a ratio between two distinguished spatial scales. In the limit $\varepsilon \to 0$, a simpler asymptotic model is obtained that consists of two complex cubic Ginzburg–Landau equations, coupled only by spatially averaged terms.
More information
| Item ID: | 6212 |
|---|---|
| DC Identifier: | https://oa.upm.es/6212/ |
| OAI Identifier: | oai:oa.upm.es:6212 |
| DOI: | 10.1137/0524037 |
| Official URL: | http://epubs.siam.org/simax/resource/1/sjmaah/v24/... |
| Deposited by: | Memoria de Investigacion 2 |
| Deposited on: | 01 Mar 2011 10:10 |
| Last Modified: | 20 Apr 2016 15:31 |
