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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H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation [PDF]
, 2010 We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H2-boundedness of invariant sets for an evolution process.
Anguiano Moreno, María +2 more
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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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Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation [PDF]
, 2011 The Chafee-Infante equation is one of the canonical infinite-dimensional dynamical systems for which a complete description of the global attractor is available.
Carvalho, A. N. +8 more
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Pullback attractor for a non-linear evolution equation in elasticity [PDF]
, 2014 We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory.
Caraballo Garrido, Tomás +2 more
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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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Pullback exponential attractors
Discrete and Continuous Dynamical Systems, 2010 In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
José A. Langa +2 more
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Pullback attraction in H 0 1 $H_{0}^{1}$ for semilinear heat equation in expanding domains
Boundary Value Problems, 2020 In this article, we consider the pullback attraction in H 0 1 $H_{0}^{1}$ of pullback attractor for semilinear heat equation with domains expanding in time. Firstly, we establish higher-order integrability of difference about variational solutions; then,
Yanping Xiao, Yuqin Bai, Huanhuan Zhang
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