Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity
Keywords
Wave equation, finite difference, global attractor, Hausdorff dimensionAbstract
The existence and Hausdorff dimension of the global attractor for discretization of a damped wave equation with the periodic nonlinearity under the periodic boundary conditions are studied for any space dimension. The obtained Hausdorff dimension is independent of the mesh sizes and the space dimension and remains small for large damping, which conforms to the physics.Downloads
Published
2000-06-01
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1.
ZHOU, Shengfan. Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity. Topological Methods in Nonlinear Analysis. Online. 1 June 2000. Vol. 15, no. 2, pp. 267 - 281. [Accessed 13 November 2024].
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