Authors
Citation
Re. Wilson, NUMERICALLY DERIVED SCALINGS FOR THE COMPLEX GINZBURG-LANDAU EQUATION, Physica. D, 112(3-4), 1998, pp. 329-343
Citations number
12
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
112
Issue
3-4
Year of publication
1998
Pages
329 - 343
Database
ISI
SICI code
0167-2789(1998)112:3-4<329:NDSFTC>2.0.ZU;2-4
Abstract
We describe some new numerical results concerning the scaling of norms
on the turbulent attractor of the quintic complex Ginzburg-Landau equ
ation, u(t) = (1 + i nu)u(xx) + Ru -(1 + i mu)u\u\(4), posed on the on
e-dimensional interval [0, 1] with periodic boundary conditions. The e
vidence suggests that the real R --> infinity asymptotic growth rates
of some norms are lower than available analytical estimates.