[HTML][HTML] Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents

PE Kloeden, J Simsen, MS Simsen - Journal of Mathematical Analysis and …, 2017 - Elsevier
We study the asymptotic behavior of a non-autonomous multivalued Cauchy problem of the
form∂ u∂ t (t)− div (D (t)|∇ u (t)| p (x)− 2∇ u (t))+| u (t)| p (x)− 2 u (t)+ F (t, u (t))∋ 0 on a …

[HTML][HTML] Asymptotically autonomous dynamics for parabolic equations

Y Li, L She, R Wang - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
Given an asymptotically autonomous system, it is shown that the components of the pullback
attractor converge to the global attractor if and only if the pullback attractor is forward …

Hausdorff sub-norm spaces and continuity of random attractors for bi-stochastic g-Navier–Stokes equations with respect to tempered forces

Y Li, S Yang - Journal of Dynamics and Differential Equations, 2023 - Springer
We study the continuity of pullback random attractors A λ, where the parameter belongs to a
complete metric space Λ. By a Hausdorff sub-norm space, we mean the collection of all …

[HTML][HTML] Asymptotic behaviour of nonlocal p-Laplacian reaction–diffusion problems

T Caraballo, M Herrera-Cobos… - Journal of Mathematical …, 2018 - Elsevier
In this paper, we focus on studying the existence of attractors in the phase spaces L 2 (Ω)
and L p (Ω)(among others) for time-dependent p-Laplacian equations with nonlocal diffusion …

[PDF][PDF] Longtime robustness and semi-uniform compactness of a pullback attractor via nonautonomous PDE

Y Li, L She, J Yin - Discrete Contin. Dyn. Syst. Ser. B, 2018 - researchgate.net
This paper is concerned with the robustness of a pullback attractor as the time tends to
infinity. A pullback attractor is called forward (resp. backward) compact if the union over the …

[PDF][PDF] Pullback attractors for non-autonomous evolution equations with spatially variable exponents

PE Kloeden, J Simsen - Commun. Pure Appl. Anal, 2014 - researchgate.net
Dissipative problems in electrorheological fluids, porous media and image processing often
involve spatially dependent exponents. They also include time-dependent terms as in …

INVARIANT SAMPLE MEASURES AND RANDOM LIOUVILLE TYPE THEOREM FOR A NONAUTONOMOUS STOCHASTIC p-LAPLACIAN EQUATION.

J Wang, X Zhang - Discrete & Continuous Dynamical …, 2023 - search.ebscohost.com
We introduce invariant sample measures to nonautonomous random dynamical systems,
and consider the dynamical behaviors of a nonautonomous stochastic p-Laplacian equation …

[PDF][PDF] Existence, regularity and approximation of global attractors for weakly dissipative p-Laplace equations

Y Li, J Yin - Discrete Contin. Dyn. Syst. Ser. S, 2016 - pdfs.semanticscholar.org
A global attractor in L 2 is shown for weakly dissipative p-Laplace equations on the entire
Euclid space, where the weak dissipativeness means that the order of the source is lesser …

[PDF][PDF] Existence and upper semicontinuity of (L-2, Lq) pullback attractors for a stochastic p-Laplacian equation

L Liu, X Fu - Commun. Pure Appl. Anal, 2017 - researchgate.net
In this paper we study the dynamical behavior of solutions for a non-autonomous p-
Laplacian equation driven by a white noise term. We first establish the abstract results on …

Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with Laplacian

M Aouadi - Applied Mathematics & Optimization, 2024 - Springer
Our purpose is to study some continuity properties of pullback and pullback exponential
attractors for the non-autonomous plate with p-Laplacian and nonlocal weak damping g ϵ …