Stability of traveling waves for a conserved field

Walter Zimmermann

Physica A: Statistical Mechanics and its Applications, 1997, vol. 237, issue 3, 405-412

Abstract: The stability of traveling waves is investigated for a model describing the post threshold behavior beyond oscillatory instabilities for a class of systems with a conserved order parameter. Oscillatory instabilities and their post threshold behavior in systems with unconserved order parameters have been a central topic of nonlinear science during the recent decade. The most famous equation in this context is the Ginzburg-Landau equation with complex coefficients. Here I discuss a straight forward generalization of this Ginzburg-Landau equation which covers also spinodal decomposition and the crossover to an oscillatory instability for a globally conserved order parameter. Especially, the modification of the border to spatiotemporal chaos is considered, which is described by the so-called Benjamin-Feir resonance.

Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437196004220
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:237:y:1997:i:3:p:405-412

DOI: 10.1016/S0378-4371(96)00422-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().