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Numerically derived scalings for the complex Ginzburg-Landau equation

✍ Scribed by R.Eddie Wilson


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
918 KB
Volume
112
Category
Article
ISSN
0167-2789

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✦ Synopsis


We describe some new numerical results concerning the scaling of norms on the turbulent attractor of the quintic complex Ginzburg-Landau equation, ut = (1 + iV)Uxx + Ru -(1 + i/z)ulul 4, posed on the one-dimensional interval [0, 1] with periodic boundary conditions. The evidence suggests that the real R --+ oc asymptotic growth rates of some norms are lower than available analytical estimates.


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