This paper is concerned with the asymptotic stability derived for two-dimensional incompressible Navier–Stokes equations multidelays on Lipschitz domain, which models control theory of 2D fluid flow. By a new retarded Gronwall inequality and estimates stream function Stokes equations, complete trajectories inside pullback attractors are asymptotically stable via restriction generalized Grashof ...

The aim of this paper is to analyze the long-time dynamical behavior solution for a degenerate wave equation with time-dependent damping term ∂ t u + β ( ) = L x , f on bounded domain Ω ⊂ R N Dirichlet boundary conditions. Under some restrictions and critical growth nonlinear we will prove local global well-posedness derive existence pullback attractor process associated damped hyperbolic probl...

This paper deals with the asymptotic behavior of solutions to a class non-autonomous fractional stochastic $ p $-Laplacian equations delay driven by nonlinear colored noise on entire space \mathbb{R}^n $. We firstly considered existence continuous random dynamical system for as well uniform estimates respect time delay. then showed pullback asymptotical compactness and uniqueness tempered attra...

In this paper, it is analyzed a non-classical non-autonomous diffusion equation with delay. First, the well-posedness and the existence of a local solution is proved by using a fixed point theorem. Then, the existence of solutions defined globally in future is ensured. The asymptotic behaviour of solutions is analyzed within the framework of pullback attractors as it has revealed a powerful the...