Results 11 to 20 of about 5,198,351 (376)
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.
Cheskidov, Alexey
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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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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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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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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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Finite Dimensions of the Global Attractor for 3D Primitive Equations with Viscosity [PDF]
Journal of nonlinear science, 2015 For a set of non-periodic boundary conditions, we prove the uniform boundedness of the $$H^2$$H2 norms of the solutions of the 3D Primitive Equations with viscosity. An absorbing set of the solutions in $$H^2$$H2 is also obtained.
N. Ju, R. Temam
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Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent [PDF]
, 2011 In this paper the long time behaviour of the solutions of 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H_{0}^{1}(\Omega)\times L_{2}(\Omega) and then it is proved ...
A. Kh. Khanmamedov +22 more
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On finite-dimensional global attractors of homeomorphisms [PDF]
Bulletin of the London Mathematical Society, 2016 Let E be a normed linear space and suppose that A is the global attractor of either (i) a homeomorphism F : E → E or (ii) a semigroup S(·) on E that is injective on A. In both cases, A has trivial shape, and the dynamics on A can be described by a homeomorphism F: A → A (in the second case we set F = S(t) for some t > 0).
Robinson, James C. +1 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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