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Minimality Properties of Set-Valued Processes and their Pullback Attractors [PDF]
SIAM Journal on Mathematical Analysis, 2015 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect to the notion of pullback attraction. When invariance is required, a very weak closed graph condition
Coti Zelati, Michele, Kalita, Piotr
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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 \[ u_{tt} + a(t,x)u_{t} + (- ) u_{t} + (- )^{2} u + u = f(u), \] in a bounded domain $ \subset \R^n$, with Navier boundary conditions. When the nonlinearity $f$ is dissipative we show that this problem is globally well posed in $H^2_0( ) \times L^2( )$ and
Carbone, Vera Lucia +3 more
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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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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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Finite fractal dimension of pullback attractors for a nonclassical diffusion equation
AIMS Mathematics, 2022 In this paper, we investigate the finite fractal dimension of pullback attractors for a nonclassical diffusion equation in $ H^1_0(\Omega) $. First, we prove the existence of pullback attractors for a nonclassical diffusion equation with arbitrary ...
Xiaolei Dong, Yuming Qin
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Mathematics, 2023 In the present paper, we aim to study the long-time behavior of a stochastic semi-linear degenerate parabolic equation on a bounded or unbounded domain and driven by a nonlinear noise.
Xin Liu, Yanjiao Li
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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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The pullback attractor for the 2D g-Navier-Stokes equation with nonlinear damping and time delay
AIMS Mathematics, 2023 In this article, the global well-posedness of weak solutions for 2D non-autonomous g-Navier-Stokes equations on some bounded domains were investigated by the Faedo-Galerkin method.
Xiaoxia Wang, Jinping Jiang
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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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AIMS Mathematics, 2020 Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, which introduced by B.
Xiaobin Yao
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