On the Amplitude Equations Arising at the Onset of the Oscillatory Instability in Pattern Formation

Vega de Prada, José Manuel (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:
  • Vega de Prada, José Manuel
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

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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: http://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/i3/p603_s1?isAuthorized=no
Deposited by: Memoria de Investigacion 2
Deposited on: 01 Mar 2011 10:10
Last Modified: 20 Apr 2016 15:31
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