A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]
, 2018 The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies.
Broche, Rita de Cássia D. S. +2 more
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Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
Journal of Applied Mathematics, 2014 We consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary ...
Danxia Wang, Jianwen Zhang, Yinzhu Wang
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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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Pullback Exponential Attractor for Second Order Nonautonomous Lattice System
Discrete Dynamics in Nature and Society, 2014 We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences.
Shengfan Zhou, Hong Chen, Zhaojuan Wang
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Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian
Nonlinear Analysis, 2015 In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
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Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping [PDF]
, 2016 We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value to another.
Ashwin, Peter +2 more
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On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations
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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Time-Dependent Attractor for the Oscillon Equation [PDF]
, 2010 We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Klein-Gordon equation in an expanding background, in one space dimension with periodic boundary conditions, with a nonlinear potential of arbitrary polynomial ...
Di Plinio, Francesco +2 more
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Abstract and Applied Analysis, 2013 We consider the existence of -pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics in a three-dimensional bounded cylindrical domain by verifying pullback condition.
Kun Li, Fang Li
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Pullback attractor of Hopfield neural networks with multiple time-varying delays
AIMS Mathematics, 2021 This paper deals with the attractor problem of Hopfield neural networks with multiple time-varying delays. The mathematical expression of the networks cannot be expressed in the vector-matrix form due to the existence of the multiple delays, which leads ...
Qinghua Zhou +3 more
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