Abstract

In this paper, we prove the upper semicontinuity of the strong global attractors on the dissipative index θ in the topology of the stronger space for the Kirchhoff wave model with structural nonlinear damping: , with θ ∈ [1/2, 1). It is continuation of the research in recent literatures1,2 where the upper semicontinuity of the strong attractor on θ in the topology of natural energy space is obtained. This result improves and deepens those in recent literatures (Li and Yang in J Differ Equat. 2020; 268: 7741‐7743; Li, Yang and Ding in Appl. Math. Lett. 2020; 104:106258).

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