The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
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On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations [PDF]
Discrete Dynamics in Nature and Society, 2010 We consider the asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω. Assuming that f∈Lloc2, which is translation bounded, the existence of the pullback attractor is proved in L2(Ω) and H1(Ω).
Delin Wu
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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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Pullback Attractors for Nonclassical Diffusion Equations in Noncylindrical Domains [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 The existence and uniqueness of a variational solution are proved for the following nonautonomous nonclassical diffusion equation 𝑢𝑡−𝜀Δ𝑢𝑡−Δ𝑢+𝑓(𝑢)=𝑔(𝑥,𝑡),𝜀∈(0,1], in a noncylindrical domain with homogeneous Dirichlet boundary conditions, under the ...
Cung The Anh, Nguyen Duong Toan
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Continuity of selected pullback attractors [PDF]
Partial Differential Equations and Applications, 2021 In this work we obtain theoretical results on continuity of selected pullback attractors and we apply them to reaction diffusion equations with dynamical boundary ...
Rodrigo A. Samprogna, Jacson Simsen
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Existence of pullback attractors for pullback asymptotically compact processes [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a global attractor.
Caraballo Garrido, Tomás +3 more
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Pullback attractor for a nonlocal discrete nonlinear Schrödinger equation with delays
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlocal discrete nonlinear Schrödinger equation with delays. We prove that the process associated with the non-autonomous model possesses a pullback attractor.
Jardel Pereira
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Pullback attractors of the Jeffreys–Oldroyd equations [PDF]
Journal of Differential Equations, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zvyagin, Victor, Kondratyev, Stanislav
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Random attractors for stochastic two-compartment Gray-Scott equations with a multiplicative noise
Open Mathematics, 2016 In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of
Jia Xiaoyao, Gao Juanjuan, Ding Xiaoquan
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Coupled nonautonomous inclusion systems with spatially variable exponents
Electronic Journal of Qualitative Theory of Differential Equations, 2021 A family of nonautonomous coupled inclusions governed by $p(x)$-Laplacian operators with large diffusion is investigated. The existence of solutions and pullback attractors as well as the generation of a generalized process are established.
Peter Kloeden, Jacson Simsen
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