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Dimension of the Global Attractor for Strongly Damped Nonlinear Wave Equation

✍ Scribed by Shengfan Zhou

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
109 KB
Volume
233
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 grows and remains small for large damping, which conforms to physical intuition.

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