Global Attractor
The Global Attractor of Thermoelastic Coupled System
... In this paper, we consider a class of Sine-Gordon equations which arise from the model of the thermoelastic coupled rod. Firstly, by virtue of the classical semigroup theory, we prove the existence and uniqueness of the ...
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On the global attractor of modified Swift Hohenberg equation in 3d case
... of global attractors for the problem ...a global attractor in H 4 when the initial value belongs to H 1 ...of global attractor for problem (1)-(3); In Section 3, the uniform estimates ...
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Existence of multiple equilibrium points in global attractor for damped wave equation
... the global attractor for some damped wave equation with critical ...the global attractor for some wave equations under some suitable assumptions in the case that the origin is an unstable ...
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Global attractor of the extended Fisher-Kolmogorov equation in Hk spaces
... of global attractors, to prove that the extended Fisher-Kolmogorov equation possesses, in any kth differentiable function spaces H k (Ω), a global attractor, which attracts any bounded set of H k (Ω) ...
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Remark on global attractor for damped wave equation on \(\mathbb{R}^{3}\)
... Note that the number in (.) corresponds to the ‘critical exponent’ case in bounded domains (see []), however, in an unbounded domain, it is possible to relax the growth restriction; see [–] for the ...
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Global attractor of coupled difference equations and applications to Lotka Volterra systems
... This paper is concerned with a coupled system of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time delays. The aim of the paper is to show the existence ...
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The global attractor of the 2D Boussinesq system with fractional vertical dissipation
... the global existence of strong solutions for small initial data, and in [], obtained the global ex- istence of weak solutions and the local existence of strong solutions for general initial ...of ...
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Global attractor for a nonlocal hyperbolic problem on ${\mathcal{R}}^{N}$
... of global attractor in a weak topology is discussed for a general dissipative wave ...proved global existence, decay estimates, asymptotic stability and blow up results for a degenerate non-linear ...
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Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity
... As we all know, the solutions to the dissipative equation can be described by a semigroup of solution operators. When the equation is defined in a bounded domain, if the semigroup is asymptotically compact, then the ...
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GLOBAL ATTRACTOR OF THE HYPERBOLIC RELAXATION OF THE SWIFT-HOHENBERG EQUATION IN Rn
... the global attractor gives infor- mation about the pattern’s stability ...the global attractor for the hyperbolic Swift-Hohenberg equation in a three-dimensional bounded domain have been ...
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Global Attractor for a Class of Nonlinear Generalized Kirchhoff Boussinesq Model
... u − div σ ∇ u ∇ − ∆ + ∆ + u u u h u + g u = f x (1.6) which Yang Zhijian and Jin Baoxia [2] studied. In this model, Yang Zhijian and Jin Baoxia gained that under rather mild conditions, the dynamical system associated ...
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On the Well Posedness and Refined Estimates for the Global Attractor of the TYC Model
... the attractor in H, just described via ! Proposition ...the global attractor of the semigroup {St} t≥0 in H ! associated with the Trojan Y Chromosome model, then the trace of the linear ...
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Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher Order Coupled Kirchhoff Type Equations
... tion, global attractors and estimation Hausdorff and fractal dimensions of the global attractor by Chen, Wei Wang and Guoguang Lin, see ...the global attractor, we applied different ...
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Global attractor for the generalized hyperelastic-rod equation
... In this paper, we investigate the dynamical behavior of the initial boundary value problem for a class of generalized hyperelastic-rod equations. Under certain conditions, the existence of a global solution in H 3 ...
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The Estimates of the Upper Bounds of Hausdorff Dimensions for the Global Attractor for a Class of Nonlinear Coupled Kirchhoff Type Equations
... R with a smooth boundary ∂Ω and v is the unit outward normal on ∂Ω . g u ( ) is a nonlinear function spe- cified later. And they obtained the existence of the global attractor. In this case, they considered ...
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Global Attractor for a Non Autonomous Beam Equation
... ting is presented by Woinowsky-Krieger [1] as the new idea in fields of J. Appl. Mech. For the non-autonomous wave equations, there are many interesting results were published focusing different respects (see [2,3]). The ...
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Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto Sivashinsky Equation
... In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu- tions of a two dimensional generalized anisotropy Kuramoto-Sivashinsky Equation. Then we prove the existence of the ...
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Global Attractor of Two Dimensional Strong Damping KDV Equation and Its Dimension Estimation
... of global attractor for one-dimensional KDV equation and its ...the global attractor of two- dimensional KDV equations and its upper bound estimation of the Hausdorff and fractal dimension of ...
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Long-Time Behavior of Solutions for a Class of Nonlinear Higher Order Kirchhoff Equation
... the global smooth solution of the equation by using Holder inequality, Yong inequality, Poincare inequality and Gronwall ...the global solution of the equation by using the Galerkin finite element ...the ...
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