4 papers
Uniform Exponential Attractors for Non-Autonomous Dynamical Systems and an Application to the damped hyperbolic equation with sub-quintic growth
Chang Qingquan, Li Dandan
In this paper, we develop an abstract framework for the theory of uniform exponential attractors in non-autonomous dynamical systems. Our construction employs time-dependent absorb…
Long-time asymptotics and invariant manifold for the fractional 2D Navier-Stokes equation
Jingchi Huang, Dandan Li, Shuai Zhang
We consider the two-dimensional incompressible Navier-Stokes equations with supercritical fractional dissipation in the vorticity formulation. In self-similar variables, we analyze…
Pullback Attractors for a Critical Degenerate Wave Equation with Time-dependent Damping
Dandan Li, Qingquan Chang, Chunyou Sun
The aim of this paper is to analyze the long-time dynamical behavior of the solution for a degenerate wave equation with time-dependent damping term $\partial_{tt}u + β(t)\partial_…
Deterministic and random attractors for a wave equation with sign changing damping
Qingquan Chang, Dandan Li, Chunyou Sun +1
The paper gives a detailed study of long-time dynamics generated by weakly damped wave equations in bounded 3D domains where the damping exponent depends explicitly on time and may…