Results 11 to 20 of about 4,947,310 (278)
AIMS Mathematics, 2022 We consider a time semidiscretization of the Ginzburg-Landau equation by the backward Euler scheme. For each time step τ, we build an exponential attractor of the dynamical system associated to the scheme.
Narcisse Batangouna
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On the continuity of global attractors [PDF]
Proceedings of the American Mathematical Society, 2015 Let $ $ be a complete metric space, and let $\{S_ (\cdot):\ \in \}$ be a parametrised family of semigroups with global attractors ${\mathscr A}_ $. We assume that there exists a fixed bounded set $D$ such that ${\mathscr A}_ \subset D$ for every $ \in $.
Eric Olson +2 more
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Time-dependent asymptotic behavior of the solution for evolution equation with linear memory
AIMS Mathematics, 2023 In this article, by using the operator decomposition technique, we discuss the existence of a time-dependent global attractor for a nonlinear evolution equation with linear memory within the theory of time-dependent space. Furthermore, the regularity and
Tingting Liu +2 more
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The Construction of Global Attractors [PDF]
Proceedings of the American Mathematical Society, 1990 The purpose of this note is to show that every inverse limit space of an interval mapping can be realized as a global attractor for a homeomorphism of the plane.
Marcy Barge, Joe Martin
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On the Residual Continuity of Global Attractors
Mathematics, 2022 In this brief paper, we studied the residual continuity of global attractors Aλ in varying parameters λ∈Λ with Λ a bounded Borel set in Rd. We first reviewed the well-known residual continuity result of global attractors and then showed that this residual continuity is equivalent to the dense continuity. Then, we proved an analogue continuity result in
Xingxing Wang, Hongyong Cui
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The global attractor for a class of extensible beams with nonlocal weak damping
Discrete & Continuous Dynamical Systems - B, 2020 The goal of this paper is to study the long-time behavior of a class of extensible beams equation with the nonlocal weak damping \begin{document}$ \begin{eqnarray*} u_{tt}+\Delta^2 u-m(\|\nabla u\|^2)\Delta u +\| u_t\|^{p}u_t+f(u) = h, \rm{in}\; \Omega ...
Chunxiang Zhao, Chunyan Zhao, C. Zhong
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Existence of a global attractor for fractional differential hemivariational inequalities
Discrete & Continuous Dynamical Systems - B, 2020 In this paper, we introduce and study a new class of fractional differential hemivariational inequalities ((FDHVIs), for short) formulated by an initial-value fractional evolution inclusion and a hemivariational inequality in infinite Banach spaces ...
Yi‐rong Jiang, N. Huang, Zhouchao Wei
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Journal of Optimization, Differential Equations and Their Applications, 2023 The paper investigates the issue of stability with respect to external disturbances for the global attractor of the wave equation under conditions that do not ensure the uniqueness of the solution to the initial problem.
Oleksiy V. Kapustyan +3 more
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Pullback attractor for a nonlocal discrete nonlinear Schrödinger equation with delays
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlocal discrete nonlinear Schrödinger equation with delays. We prove that the process associated with the non-autonomous model possesses a pullback attractor.
Jardel Pereira
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Embedding of global attractors and their dynamics [PDF]
Proceedings of the American Mathematical Society, 2011 Using shape theory and the concept of cellularity, we show that if $A$ is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $H$ and the set $A-A$ has finite Assouad dimension $d$, then there is an ordinary differential equation in ${\mathbb R}^{m+1}$, with $m >d$, that has unique solutions and ...
Eleonora Pinto de Moura +2 more
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