Results 21 to 30 of about 52 (51)

Random attractors of Kirchhoff-type reaction–diffusion equations without uniqueness driven by nonlinear colored noise

open access: yesOpen Mathematics
In this article, we consider the asymptotic behavior of solutions for the Kirchhoff-type reaction–diffusion equations driven by a nonlinear colored noise defined on unbounded domains. We prove the existence and uniqueness of pullback random attractors by
Zhang Zhang, Yao Xiaobin
doaj   +1 more source

On weak/Strong Attractor for a 3-D Structural-Acoustic Interaction with Kirchhoff–Boussinesq Elastic Wall Subject to Restricted Boundary Dissipation

open access: yes
35B41; 35L05; 37L30; 74F99; 74K20; Boundary-interface dissipation; Global attractors; Kirchhoff-Boussinesq plate and interface; Structure-acoustic dynamical ...
Rodrigues, José H., Lasiecka, Irena
core   +1 more source

On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

open access: yesOpen Mathematics
In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is ...
Al-Gharabli Mohammad M.
doaj   +1 more source

Pullback attractor of the 2D non-autonomous magneto-micropolar fluid equations

open access: yesOpen Mathematics
The purpose of this article is to establish the existence of the pullback attractors for the non-autonomous magneto-micropolar fluid equations in 2D bounded domains.
Zhou Gang, Gao Rui, Tian Congyang
doaj   +1 more source

Pullback attractors for a class of second-order delay evolution equations with dispersive and dissipative terms on unbounded domain

open access: yesOpen Mathematics
In this article, we investigate the long-time behavior for the ill-posed problems ∂2u∂t2+∂u∂t+λu−Δu−Δ∂u∂t−Δ∂2u∂t2=f(t,u(x,t−ρ(t)))+g(t,x),in(τ,+∞)×RN,\frac{{\partial }^{2}u}{\partial {t}^{2}}+\frac{\partial u}{\partial t}+\lambda u-\Delta u-\Delta \frac{\
Zhang Fang-hong
doaj   +1 more source

Dynamics for wave equations connected in parallel with nonlinear localized damping

open access: yesAdvances in Nonlinear Analysis
This study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
doaj   +1 more source

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