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Global and exponential attractors for 3‐D wave equations with displacement dependent damping |
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| Authors: | Vittorino Pata Sergey Zelik |
| Abstract: | A weakly damped wave equation in the three‐dimensional (3‐D) space with a damping coefficient depending on the displacement is studied. This equation is shown to generate a dissipative semigroup in the energy phase space, which possesses finite‐dimensional global and exponential attractors in a slightly weaker topology. Copyright © 2006 John Wiley & Sons, Ltd. |
| Keywords: | wave equation displacement depending damping coefficient weak and strong attractors |