Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation (Q2570856)
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| English | Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation |
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Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation (English)
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31 October 2005
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The effects of large diffusitivity in all parts of the domain in a linearly damped wave equation subject to standard zero Robin-type boundary conditions is studied. In the semilinear case, under suitable dissipative assumptions on the nonlinear term, the existence of a global attractor for fixed diffusion is proved. Morever, it is shown that the limiting attractor for large diffusion is finite-dimensional.
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Robin-type boundary conditions
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linearly damped wave equation
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existence of a global attractor
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