Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

This survey is dedicated to the 100th anniversary of Mark Iosifovich Vishik and is based on a
number of mini-courses taught by the author at University of Surrey (UK) and Lanzhou …

We give a comprehensive study of strong uniform attractors of non-autonomous dissipative
systems for the case where the external forces are not translation compact. We introduce …

This paper is concerned with the long-time behavior for a class of non-autonomous plate
equations with perturbation and strong damping of p-Laplacian type utt+∆ 2u+ aϵ (t) ut−∆ …

For ρ∈[0, 1) and ε∈(0, 1), we investigate the uniform attractors of a 3D non-autonomous
Navier–Stokes–Voight equation with singularly oscillating forces together with the averaged …

Uniform compact attractors for the coupled suspension bridge equations - ScienceDirect
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This paper is concerned with a non-autonomous damped wave equation in a smooth
bounded domain of R 3, using the introduced weak topology entropy, we obtain an upper …

We introduce a new class of functions satisfying normal Condition (C*), denoted by Lnc∗ 2
(R; X), which are translation bounded but not translation compact—in particular, which are …

The paper is concerned with the non-autonomous modified Swift-Hohenberg equation ut+△
2 u+ 2△ u+ au+ b|∇ u| 2+ u 3= g (x, t) u_t+\triangle^2u+2\triangleu+au+b|∇u|^2+u^3=g(x,t) …

The dynamical behavior of wave equations with displacement-dependent damping is an
interesting and significant problem. For the autonomous case, there have some literatures …