large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation
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ID: 129380
2003
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Abstract
We study the effects of large diffusivity in all parts of the domain in a linearly damped wave equation subject to standard zero Robin-type boundary conditions. In the linear case, we show
in a given sense that the asymptotic behaviour of solutions verifies a second-order ordinary differential equation. In the semilinear case, under suitable dissipative assumptions on the nonlinear term, we prove the existence of a global attractor for fixed diffusion and that the limiting attractor for large diffusion is finite dimensional.
| Reference Key |
willie2003journallarge
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|---|---|
| Authors | ;Robert Willie |
| Journal | Chemico-biological interactions |
| Year | 2003 |
| DOI |
10.1155/S1110757X03212067
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