Results 1 to 10 of about 5,259,671 (279)
Global attractors of evolutionary systems [PDF]
Journal of Dynamics and Differential Equations, 2006 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 ...
Cheskidov, Alexey
core +3 more sources
Global attractor for a strongly damped wave equation with fully supercritical nonlinearities
, 2017 The paper investigates the existence of global attractor for a strongly damped wave equation with fully supercritical nonlinearities: \begin{document}$ u_{tt}-Δ u- Δu_t+h(u_t)+g(u)=f(x) $\end{document} .
Zhijian Yang, Zhiming Liu
openalex +2 more sources
Global Attractor for Second-Order Nonlinear Evolution Differential Inclusions [PDF]
Complexity, 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by
Guangwang Su, Funing Lin
doaj +2 more sources
Global attractor for a semilinear parabolic equation involving Grushin operator
Electronic Journal of Differential Equations, 2008 The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung +3 more
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The existence of a compact global attractor for a class of competition model
AIMS Mathematics, 2021 This paper is concerned with the existence of a compact global attractor for a class of competition model in n−dimensional (n ≥ 1) domains. Using mathematical induction and more detailed interpolation estimates, especially Gagliardo-Nirenberg inequality,
Yanxia Wu
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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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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.
Barge, Marcy, Martin, Joe
openaire +2 more sources
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
semanticscholar +1 more source
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
semanticscholar +1 more source