Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]
The Scientific World Journal, 2014 We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang +3 more
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Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth [PDF]
Advances in Difference Equations, 2021 In this paper, we mainly investigate upper semicontinuity and regularity of attractors for nonclassical diffusion equations with perturbed parameters ν and the nonlinear term f satisfying the polynomial growth of arbitrary order p − 1 $p-1$ ( p ≥ 2 $p ...
Yongqin Xie, Jun Li, Kaixuan Zhu
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Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems [PDF]
Journal of Function Spaces, 2015 We establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as parametric ...
Shu-qiang Shan, Yu Han, Nan-jing Huang
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Existence of random attractors and the upper semicontinuity for small random perturbations of 2D Navier-Stokes equations with linear damping [PDF]
Open Mathematics, 2021 The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
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Upper Semicontinuity of Solution Maps for a Parametric Weak Vector Variational Inequality [PDF]
Journal of Inequalities and Applications, 2010 This paper investigates the upper semicontinuity of the solution map for a parametric weak vector variational inequality associated to a v-hemicontinuous and weakly C-pseudomonotone operator.
Z. M. Fang, S. J. Li
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Upper semicontinuity of uniform attractors for nonclassical diffusion equations [PDF]
Boundary Value Problems, 2017 We study the upper semicontinuity of a uniform attractor for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, we prove that the uniform (with respect to (w.r.t.) g ∈ Σ $g\in \Sigma $ ) attractor A Σ ε $\mathcal ...
Yonghai Wang, Pengrui Li, Yuming Qin
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Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine-Gordon Lattice Systems with Random Coupled Coefficients [PDF]
Discrete Dynamics in Nature and Society, 2016 We study nonautonomous stochastic sine-Gordon lattice systems with random coupled coefficients and multiplicative white noise. We first consider the existence of random attractors in a weighted space for this system and then establish the upper ...
Zhaojuan Wang, Shengfan Zhou
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Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems [PDF]
Journal of Applied Mathematics, 2005 We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2.
Ahmed Y. Abdallah
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Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider nonautonomous reaction-diffusion equations with variable exponents and large diffusion and we prove continuity of the flow and weak upper semicontinuity of a family of pullback attractors when the exponents go to $2$ in $L^\infty(\Omega)$.
Jacson Simsen
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Monotonicity and upper semicontinuity [PDF]
Bulletin of the American Mathematical Society, 1976 M. B. Suryanarayana
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