Results 11 to 20 of about 220 (182)

Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing

Discrete Dynamics in Nature and Society, 2018
This paper deals with pullback dynamics for the weakly damped Schrödinger equation with time-dependent forcing. An increasing, bounded, and pullback absorbing set is obtained if the forcing and its time-derivative are backward uniformly integrable. Also,
Lianbing She, Yangrong Li, Renhai Wang
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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, Alain Miranville, José Real   +2 more
openaire   +1 more source

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 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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Pullback attractors for generalized evolutionary systems

Discrete and Continuous Dynamical Systems - B, 2015
We give an abstract framework for studying nonautonomous PDEs, called a generalized evolutionary system. In this setting, we define the notion of a pullback attractor. Moreover, we show that the pullback attractor, in the weak sense, must always exist. We then study the structure of these attractors and the existence of a strong pullback attractor.
Kavlie, Landon, Cheskidov, Alexey
openaire   +3 more sources

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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Weak pullback attractors of setvalued processes

Journal of Mathematical Analysis and Applications, 2003
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for at least one trajectory rather than all trajectories at each starting point.
Caraballo Garrido, Tomás, Kloeden, Peter E., Marín Rubio, Pedro   +2 more
openaire   +4 more sources

Continuity of pullback and uniform attractors [PDF]

Journal of Differential Equations, 2018
We study the continuity of pullback and uniform attractors for non-autonomous dynamical systems with respect to perturbations of a parameter. Consider a family of dynamical systems parameterised by a complete metric space $Λ$ such that for each $λ\inΛ$ there exists a unique pullback attractor $\mathcal A_λ(t)$.
Luan T. Hoang, Eric J. Olson, James C. Robinson   +2 more
openaire   +3 more sources

Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

Bulletin of Mathematical Sciences, 2021
This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
doaj   +1 more source