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Dimension of the universal attractor in spin-wave turbulence

✍ Scribed by Tepper L. Gill; W.W. Zachary


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
361 KB
Volume
128
Category
Article
ISSN
0375-9601

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✍ Shengfan Zhou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping