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 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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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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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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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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Global Attractor for Second-Order Nonlinear Evolution Differential Inclusions
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
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Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition [PDF]
, 2011 In this paper, we derive optimal upper and lower bounds on the dimension of the attractor AW for scalar reaction-diffusion equations with a Wentzell (dynamic) boundary condition.
Gal, Ciprian G.
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