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We study the long-term behavior of the non-autonomous wave equations with a new-type nonlocal weak damping and critical nonlinearity. After proving the global well-posedness, we first study the asymptotic regularity of solutions, which shows that the solutions are exponentially approaching a more regular bounded subset. Based on this regularity result, we finally obtain the existence and smoothness of uniform exponential attractors.
Zhou et al. (Wed,) studied this question.
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