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Global Attractor of Atmospheric Circulation Equations with Humidity Effect [PDF]
Abstract and Applied Analysis, 2012 Global attractor of atmospheric circulation equations is considered in this paper. Firstly, it is proved that this system possesses a unique global weak solution in L2(Ω,R4).
Hong Luo
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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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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 ...
Gopalkrishnan, Manoj +2 more
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Regularity of Global Attractor for the Reaction‐Diffusion Equation [PDF]
Abstract and Applied Analysis, 2012 By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction‐diffusion equation possesses a global attractor in Sobolev space Hk for all k > 0, which attracts any bounded subset of Hk(Ω) in the Hk‐norm.
Hong Luo
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Existence of the global attractor for the plate equation with nonlocal nonlinearity in R^{n} [PDF]
, 2015 We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.
Azer Khanmamedov, Sema Simsek
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Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory
, 2015 We analyse the longterm properties of a $C_0-$semigroup describing the solutions to a nonlinear thermoelastic diffusion plate, recently derived by Aouadi [1], where the heat and diffusion flux depends on the past history of the temperature and the ...
Moncef Aouadi, Alain Miranville
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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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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 $.
Hoang, Luan T. +2 more
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