Results 201 to 210 of about 1,839,360 (254)

Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam

Nonlinearity, 2022
In this paper we study the long-time dynamics of a non-autonomous Rao–Nakra sandwich beam. The governing equations of Rao–Nakra sandwich beam consist of two wave equations for the longitudinal displacements of the top and bottom layers, and one Euler ...
M. Aouadi
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Upper semicontinuity of optimal attractors for viscoelastic equations lacking strong damping

Applicable Analysis, 2022
This paper devotes to investigating the asymptotic behavior of viscoelastic equation with fading memory lacking strong damping term where . Its key feature is the lack of strong mechanical damping term replaced by weaker dissipative term (i.e.
Jiangwei Zhang, Zhiming Liu, Jianhua Huang   +2 more
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Upper semicontinuity of pullback attractors for nonclassical diffusion equations with delay

Asymptotic Analysis, 2022
In this paper, we mainly study the upper semicontinuity of pullback D -attractors for a nonclassical diffusion equation with delay term b ( t , u t ) which contains some hereditary characteristics.
Yuming Qin, Qitao Cai
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Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space

Differential and Integral Equations, 2021
In this work, we analyze the long time behavior of 2D as well as 3D convective Brinkman-Forchheimer (CBF) equations and its stochastic counter part with non-autonomous deterministic forcing term in $\mathbb{R}^d$ $ (d=2, 3)$: $$\frac{\partial\boldsymbol ...
Kush Kinra, M. T. Mohan
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Upper semicontinuity of strong attractors for the Kirchhoff wave model with structural nonlinear damping

Mathematical methods in the applied sciences, 2021
In this paper, we prove the upper semicontinuity of the strong global attractors 𝒜θ on the dissipative index θ in the topology of the stronger space for the Kirchhoff wave model with structural nonlinear damping: utt−ϕ(‖∇u‖2)△u+σ(‖∇u‖2)(−Δ)θut+f(u)=g(x) ,
Yan Qu, Zhijian Yang
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Synchronization of stochastic lattice equations and upper semicontinuity of attractors

Stochastic Analysis and Applications, 2021
We consider a system of two coupled stochastic lattice equations driven by additive white noise processes, where the strength of the coupling is given by a parameter We show that these equations generate a random dynamical system which has a random ...
H. Bessaih, M. Garrido-Atienza, Verena Köpp, B. Schmalfuß   +3 more
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Asymptotic analysis and upper semicontinuity with respect to delay term of attractors to binary mixtures of solids

Asymptotic Analysis, 2021
We investigated the asymptotic dynamics of a nonlinear system modeling binary mixture of solids with delay term. Using the recent quasi-stability methods introduced by Chueshov and Lasiecka, we prove the existence, smoothness and finite dimensionality of
M. Freitas, A. Ramos, M. D. Dos Santos, L. Miranda, J. Almeida   +4 more
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Asymptotic analysis and upper semicontinuity to a system of coupled nonlinear wave equations

Dynamical systems, 2021
In this paper we study the long-time behaviour of a system consisting of two nonlinear wave equations under the action of three competing forces, damping forces, strong source and external force.
M. D. Dos Santos, M. Freitas, A. Ramos, D. S. Almeida Júnior   +3 more
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On upper semicontinuity of the Allen–Cahn twisted eigenvalues

Asymptotic Analysis, 2021
We give an asymptotic upper bound for the kth twisted eigenvalue of the linearized Allen–Cahn operator in terms of the kth eigenvalue of the Jacobi operator, taken with respect to the minimal surface arising as the asymptotic limit of the zero sets of ...
Krutika Tawri
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Local upper semicontinuity of bispatial attractors for nonautonomous stochastic parabolic equations with singular perturbation

Mathematical methods in the applied sciences, 2020
We study the local upper semicontinuity of pullback bispatial attractors for singularly perturbed nonautonomous stochastic reaction‐diffusion equations on an unbounded domain.
J. Yin, Hao Xu
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