Cardinality and IOD-type continuity of pullback attractors for random nonlocal equations on unbounded domains
Y Li, T Caraballo, F Wang - Mathematische Annalen, 2025 - Springer
We study the continuity set (the set of all continuous points) of pullback random attractors
from a parametric space into the space of all compact subsets of the state space with …
from a parametric space into the space of all compact subsets of the state space with …
[PDF][PDF] Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal dam**.
Y Li, Z Yang, F Da - … & Continuous Dynamical Systems: Series A, 2019 - researchgate.net
The paper investigates the attractors and their robustness for a perturbed non-autonomous
extensible beam equation with nonlinear nonlocal dam**. We prove that the related …
extensible beam equation with nonlinear nonlocal dam**. We prove that the related …
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 …
complete metric space Λ. By a Hausdorff sub-norm space, we mean the collection of all …
Pullback dynamics of Lamé systems with time-dependent weak dam**
We study the longtime dynamics of nonautonomous Lamé systems with time-dependent
weak dam**. Firstly we establish the existence of pullback exponential attractors. Then we …
weak dam**. Firstly we establish the existence of pullback exponential attractors. Then we …
[PDF][PDF] Continuity of random attractors on a topological space and fractional delayed FitzHugh-Nagumo equations with WZ-noise.
Y Li, S Yang, G Long - … & Continuous Dynamical Systems-Series B, 2022 - researchgate.net
We study the continuity of a family of random attractors parameterized in a topological space
(perhaps non-metrizable). Under suitable conditions, we prove that there is a residual dense …
(perhaps non-metrizable). Under suitable conditions, we prove that there is a residual dense …
Continuity-sets of pullback random attractors for discrete porous media equations with colored noise
Y Li, F Wang, H **
Y Sun, Z Yang - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
This paper investigates the well-posedness of global solutions, the existence of global and
exponential attractors and their continuity for an extensible beam equation with rotational …
exponential attractors and their continuity for an extensible beam equation with rotational …
Higher-order continuity of pullback random attractors for random quasilinear equations with nonlinear colored noise
Y Li, F Wang, T Caraballo - Journal of Dynamics and Differential Equations, 2024 - Springer
For a nonautonomous random dynamical system, we introduce a concept of a pullback
random bi-spatial attractor (PRBA). We prove an existence theorem of a PRBA, which …
random bi-spatial attractor (PRBA). We prove an existence theorem of a PRBA, which …
Hölder continuity of exponential pullback attractors for Form II Mindlin's strain gradient viscoelastic plate
M Aouadi - Discrete and Continuous Dynamical Systems-B, 2024 - aimsciences.org
The paper investigates some continuity properties of pullback and exponential pullback
attractors of the non-autonomous problem of Form II Mindlin's strain gradient viscoelastic …
attractors of the non-autonomous problem of Form II Mindlin's strain gradient viscoelastic …
Several continuities of a pullback random attractor for stochastic non-autonomous Zakharov lattice equations
Y Li, L Zhang - Qualitative Theory of Dynamical Systems, 2024 - Springer
We study the dynamics of stochastic Zakharov lattice equations driven by multiplicative white
noise and time-dependent forces. We first deduce a cocycle (non-autonomous random …
noise and time-dependent forces. We first deduce a cocycle (non-autonomous random …