LENGTH SCALES IN SOLUTIONS OF THE COMPLEX GINZBURG-LANDAU EQUATION

Authors
BARTUCCELLI MV GIBBON JD OLIVER M
Citation
Mv. Bartuccelli et al., LENGTH SCALES IN SOLUTIONS OF THE COMPLEX GINZBURG-LANDAU EQUATION, Physica. D, 89(3-4), 1996, pp. 267-286
Citations number
30
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
89
Issue
3-4
Year of publication
1996
Pages
267 - 286
Database
ISI
SICI code
0167-2789(1996)89:3-4<267:LSISOT>2.0.ZU;2-X
Abstract
We generalise and in certain cases improve on previous a priori estima tes of Sobolev norms of solutions to the generalised complex Ginzburg- Landau equation. A set of dynamic length scales based on ratios of the se norms is defined. We are able to derive lower bounds for time avera ges and long-time limits of these length scales. The bounds scale like the inverses of our L(infinity) bounds.