TY - JOUR T1 - Asymptotic Behavior of Wave Equation of Kirchhoff Type with Strong Damping AU - Song , Zhihua AU - Zhang , Yuanyuan JO - Annals of Applied Mathematics VL - 1 SP - 50 EP - 62 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20594.html KW - wave equations, global attractors, critical nonlinearity. AB -

The paper deals with the strongly damped nonlinear wave equation of Kirchhoff type. The existence of a global attractor is proven by using the decomposition, and moreover, the structure of the global attractor is established. Our results improve the previous results.