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In this paper the long‐time behaviour of the solutions of 2‐D wave equation with a damping coefficient depending on the displacement is studied. It is shown that the semigroup generated by this equation possesses a global attractor in  H        1    0    (Ω) ×  L  2 (Ω) and  H  2 (Ω)∩ H        1    0    (Ω) ×  H        1    0    (Ω). Copyright © 2009 John Wiley & Sons, Ltd.

Global attractors for 2‐D wave equations with displacement‐dependent damping