Attractor and dimension for strongly damped nonlinear wave equation |
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Authors: | Zhou Shengfan |
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Institution: | (1) Department of Mathematics, Sichuan University, 610064 Chengdu, China |
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Abstract: | In this paper, we prove the existence of the global attractor and obtain an estimate of the upper bound of Hausdorff dimension of the attractor for strongly damped nonlinear wave equation with Dirichlet boundary condition by introducing a new norm. The Hausdorff dimension obtained remains small for large damping, which conforms to the physical intuition. |
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Keywords: | Wave equation global attractor Hausdorff dimension equivalent norm |
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