Attractors. Then and now

S Zelik - arXiv preprint arXiv:2208.12101, 2022 - arxiv.org
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 …

Strong uniform attractors for non-autonomous dissipative PDEs with non translation-compact external forces

S Zelik - arXiv preprint arXiv:1404.5563, 2014 - arxiv.org
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 …

[PDF][PDF] Uniform attractors for non-autonomous plate equations with p-Laplacian perturbation and critical nonlinearities.

XG Yang, MJD Nascimento… - Discrete & Continuous …, 2020 - researchgate.net
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−∆ …

Entropy estimates for uniform attractors of dissipative PDEs with non translation-compact external forces

Y Xiong, A Kostianko, C Sun, S Zelik - arXiv preprint arXiv:2202.05590, 2022 - arxiv.org
We study the Kolmogorov's entropy of uniform attractors for non-autonomous dissipative
PDEs. The main attention is payed to the case where the external forces are not translation …

Uniform attractors for wave equations with critical and nonautonomous nonlinearity

X Zhu - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
Existence and structure of uniform attractors for wave equations with a time-dependent and
critical nonlinearity are considered in this paper. Firstly, the well-posedness of the equation …

Uniform attractors for multi-valued process generated by non-autonomous nonclassical diffusion equations with delay in unbounded domain without uniqueness of …

L Bai, F Zhang - Asymptotic Analysis, 2015 - content.iospress.com
In this article, the existence of a uniform attractor is proved for the multi-valued process
generated by non-autonomous nonclassical diffusion equations (NDEs) with delays in …

Pullback attractors in the weighted space for multi-valued process generated by the non-autonomous nonclassical diffusion equations with unbounded delays without …

F Zhang, L Bai - Applicable Analysis, 2020 - Taylor & Francis
In this article, we consider the asymptotic behavior of the following non-autonomous
nonclassical diffusion equations with infinite delays∂ u∂ t− Δ∂ u∂ t− Δ u= f (t, u (t− ρ (t) …

Uniform attractors for reaction–diffusion equations with a larger class of external forces

X Zhu, C Zhong - Journal of Mathematical Physics, 2022 - pubs.aip.org
The existence and structure of Lp uniform attractors for reaction–diffusion equations with a
larger class of external forces are considered. First, we introduce a new class of external …

Uniform attractors for nonautonomous reaction-diffusion equations with the nonlinearity in a larger symbol space.

X Zhu, C Zhong - … & Continuous Dynamical Systems-Series B, 2022 - search.ebscohost.com
Existence and structure of the uniform attractors for reaction-diffusion equations with the
nonlinearity in a weaker topology space are considered. Firstly, a weaker symbol space is …

Uniform attractors of non-autonomous Kirchhoff wave models

Z Yang, Y Li, N Feng - arXiv preprint arXiv:1908.06500, 2019 - arxiv.org
The paper investigates the existence and upper semicontinuity of uniform attractors of the
perturbed non-autonomous Kirchhoff wave equations with strong damping and supercritical …