Dynamics of the non-autonomous wave equations with nonlocal weak damping and critical nonlinearity

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.