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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Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions. [PDF]
Physica D, 2019 There is a growing awareness that catastrophic phenomena in biology and medicine can be mathematically represented in terms of saddle-node bifurcations.
Li JH, Ye FX, Qian H, Huang S.
europepmc +2 more sources
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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Pullback attractors for a singularly nonautonomous plate equation [PDF]
Electronic Journal of Differential Equations, 2010 We consider the family of singularly nonautonomous plate equation with structural damping \[ u_{tt} + a(t,x)u_{t} + (- \Delta) u_{t} + (-\Delta)^{2} u + \lambda u = f(u), \] in a bounded domain $\Omega \subset \R^n$, with Navier boundary conditions. When
Karina Schiabel-silva +4 more
core +6 more sources
Entropy Increase in Switching Systems [PDF]
Entropy, 2013 The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Ángel Giménez +2 more
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Weak Pullback Attractors of Non-Autonomous Difference Inclusions [PDF]
Journal of Difference Equations and Applications, 2003 Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established.
Kloeden, Peter E., Marín Rubio, Pedro
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Pullback attractors for non-autonomous Bresse systems
Electronic Journal of Differential Equations, 2022 This article concerns the asymptotic behavior of solutions of non-autonomous Bresse systems. We establish the existence of pullback attractor and upper semicontinuity of attractors as a non-autonomous perturbations tend to zero. In addition we study the continuity of attractors with respect to a parameter in a residual dense set.
Ricardo de Sa Teles
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Periodic random attractors for stochastic Navier-Stokes equations on unbounded domains
Electronic Journal of Differential Equations, 2012 This article concerns the asymptotic behavior of solutions to the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Bixiang Wang
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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
openaire +3 more sources