Results 11 to 20 of about 9,762 (294)
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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A Geometric Approach to the Global Attractor Conjecture [PDF]
SIAM Journal on Applied Dynamical Systems, 2014 v2: 49 pages, 8 figures, minor changes; v1: 48 pages, 8 ...
Manoj Gopalkrishnan +2 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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On the continuity of global attractors [PDF]
Proceedings of the American Mathematical Society, 2015 Let $Λ$ be a complete metric space, and let $\{S_λ(\cdot):\ λ\inΛ\}$ be a parametrised family of semigroups with global attractors ${\mathscr A}_λ$. We assume that there exists a fixed bounded set $D$ such that ${\mathscr A}_λ\subset D$ for every $λ\inΛ$.
Hoang, Luan T. +2 more
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Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns
Mathematical Modelling and Analysis, 2017 In this paper, we prove the existence of attractor for a new mechanochemical model with Neumann boundary conditions on a bounded domain of space dimension n ≤ 3.
Aibo Liu, Changchun Liu
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On the global attractor of delay differential equations with unimodal feedback [PDF]
, 2009 We give bounds for the global attractor of the delay differential equation x(over dot) (t) = -mu x(t) + f(x(t - tau)), where f is unimodal and has negative Schwarzian derivative.
Liz, Eduardo +3 more
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Global Attractors of Evolutionary Systems [PDF]
Journal of Dynamics and Differential Equations, 2009 An abstract framework for studying the asymptotic behavior of a dissipative evolutionary system $\mathcal{E}$ with respect to weak and strong topologies was introduced in [8] primarily to study the long-time behavior of the 3D Navier-Stokes equations (NSE) for which the existence of a semigroup of solution operators is not known.
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Advances in Nonlinear Analysis, 2022 This article deals with the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. The well-posedness and the existence of global attractor in the natural energy space by virtue of the Faedo-Galerkin method and energy ...
Yang Wenhua, Zhou Jun
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Strong Global Attractors for 3D Wave Equations with Weakly Damping
Abstract and Applied Analysis, 2012 We consider the existence of the global attractor A1 for the 3D weakly damped wave equation. We prove that A1 is compact in (H2(Ω)∩H01(Ω))×H01(Ω) and attracts all bounded subsets of (H2(Ω)∩H01(Ω))×H01(Ω) with respect to the norm of (H2(Ω)∩H01(Ω))×H01(Ω).
Fengjuan Meng
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Compact global attractors of discrete inclusions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 The aim of this paper is the study of the existence of compact global attractors of discrete inclusions and control systems. More precisely, on the metric space \(W\), the authors consider a discrete inclusion \(u_{t+1}\in F(u_t)\), associated with \({\mathfrak M}:= \{f_j,j\in J\}\), where \(F(u)= \{f(u)\mid f\in{\mathfrak M}\}\) for all \(u\in W ...
D. CHEBAN, MAMMANA, Cristiana
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