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Universal attractor and inertial sets for the phase field model

✍ Scribed by D. Brochet; D. Hilhorst


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
246 KB
Volume
4
Category
Article
ISSN
0893-9659

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Front instability and pattern dynamics i
✍ Hidetsugu Sakaguchi; Seiji Tokunaga πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 324 KB

We study front instability and the pattern dynamics in the phase-field model with four-fold rotational symmetry. When the undercooling βˆ† is 1 < βˆ† < βˆ† c , the flat interface is linearly unstable, and the deformation of the interface evolves to spatiotemporal chaos or nearly stationary cellular struct