Results 1 to 10 of about 27,544 (311)
Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions [PDF]
Journal of Applied Mathematics, 2013 We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. First, we give the existence of the exponential attractor in by proving that the corresponding semigroup satisfies the enhanced ...
Zhao-hui Fan
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Chevron pattern equations: exponential attractor and global stabilization [PDF]
Vietnam Journal of Mathematics, 2021 The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions.
Habiba Kalantarova +2 more
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The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System [PDF]
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
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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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AIMS Mathematics, 2020 In this article, we are interested in the study of Parabolic system of Cahn-Hilliard with a proliferation term and Dirichet boundary conditions. In particular, we prove the existence and the uniqueness of the solution, the existence of the global ...
Aymard Christbert Nimi, Daniel Moukoko
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Pullback Exponential Attractor for Second Order Nonautonomous Lattice System [PDF]
Discrete Dynamics in Nature and Society, 2014 We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences.
Shengfan Zhou, Hong Chen, Zhaojuan Wang
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The Exponential Attractors for the g-Navier-Stokes Equations [PDF]
Journal of Function Spaces and Applications, 2012 We consider the exponential attractors for the two-dimensional g-Navier-Stokes equations in bounded domain Ω. We establish the existence of the exponential attractor in L2(Ω).
Delin Wu, Jicheng Tao
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Pullback and uniform exponential attractors for non-autonomous Oregonator systems
Open MathematicsWe consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
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Open sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum) [PDF]
Proceedings of the American Mathematical Society, 2018 For any dimension $d\geq 3$ we construct $C^{1}$-open subsets of the space of $C^{3}$ vector fields such that the flow associated to each vector field is Axiom A and exhibits a non-trivial attractor which mixes exponentially with respect to the unique ...
Araújo, Vítor +2 more
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Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations [PDF]
Journal of Mathematics, 2020 In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent ...
Cuncai Liu, Fengjuan Meng, Chang Zhang
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