5 papers
Finite-dimensionality of attractors for wave equations with degenerate nonlocal damping
Zhijun Tang, Senlin Yan, Yao Xu +1
In this paper we study the fractal dimension of global attractors for a class of wave equations with (single-point) degenerate nonlocal damping. Both the equation and its lineariza…
Well-posedness and strong attractors for a beam model with degenerate nonlocal strong damping
Senlin Yan, Chengkui Zhong
This paper is devoted to initial-boundary value problem of an extensible beam equation with degenerate nonlocal energy damping in : $u_{tt}-κΔu+Δ^2u-γ(\Vert Δ…
Long-time dynamics of the wave equation with nonlocal weak damping and sup-cubic nonlinearity in 3-D domains
Senlin Yan, Chengkui Zhong, Zhijun Tang
In this paper, we study the long-time dynamics for the wave equation with nonlocal weak damping and sup-cubic nonlinearity in a bounded smooth domain of Based on th…
Strong attractors for weakly damped quintic wave equation in bounded domains
Senlin Yan, Zhijun Tang, Chengkui Zhong
In this paper, we study the longtime dynamics for the weakly damped wave equation with quintic non-linearity in a bounded smooth domain of Based on the Strichartz e…
Existence of a generalized polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
Chunyan Zhao, Chengkui Zhong, Senlin Yan
In this paper, we first establish a criterion based on contractive function for the existence of polynomial attractors. This criterion only involves some rather weak compactness as…