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Rigorous Numerics for Global Dynamics: A Study of the Swift--Hohenberg Equation

✍ Scribed by Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki


Book ID
118203421
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
481 KB
Volume
4
Category
Article
ISSN
1536-0040

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Dynamical scaling behavior of the Swift-
✍ Q. Hou; S. Sasa; N. Goldenfeld πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 717 KB

We study the kinetics of phase transitions in a Rayleigh-Benard system after onset of convection using 2D Swift-Hohenberg equation. An initially uniform state evolves to one whose ground state is spatially periodic. We confirmed previous results which showed that dynamical scaling occurs at medium q