Global Attractors
Upper Semicontinuity of Global Attractors for Singularly Perturbed Plate Equations
... of attractors with respect to the topology of for attractors of singularly perturbed wave equations on bounded domain, ...of attractors of abstract hyperbolic equation under singular perturbation ...
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Regularity of Global Attractors for the Kirchhoff Wave Equation
... finite-dimensional global attractor in the natural energy ...that global attractors for the Kirchhoff equations with strong nonlinear damping attracted 1 ...
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On embeddings and dimensions of global attractors associated with dissipative partial differential equations
... of global attractors with zero Lipschitz deviation in R N that have a H¨ older continuous inverse whose exponent is arbitrarily close to 1 by taking N sufficiently large (Theorem ...finite-dimensional ...
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The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher Order Nonlinear Kirchhoff Type Equation with Strong Linear Damping
... u + −∆ u + D u −∆ u + g u = f x . At first, we prove the existence and uniqueness of the solution by priori estimation and the Galerkin method. Then, we obtain to the existence of the global attractor. At last, we ...
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Global attractors for nonlinear wave equations with linear dissipative terms
... of global attractors for semilinear wave equations, one needs to verify the uniform compactness of the semigroup by getting the boundedness in a more regular function ...the global attractors ...
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Strong global attractors for nonclassical diffusion equation with fading memory
... strong global attractor for the hyperbolic equa- tions by using the semigroup ...of global attractors for the autonomous case both in weak and strong topological ...regular global ...
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Global attractors of the 3He-4He system in \(H_{\alpha}\) spaces
... the global asymp- totical behaviors of solutions and existence of global attractors, are important for the study of phase transition and separation for mixture of liquid He and He, which ensure ...
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REGULAR GLOBAL ATTRACTORS FOR WAVE EQUATIONS WITH DEGENERATE MEMORY
... counterexample. Moreover, this means the embedding H 1 ֒ → H 0 is not compact. Such compact- ness between the “natural phase spaces” is essential to obtaining further regularity for the global attractors ...
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The Global Attractors for the Higher Order Kirchhoff Type Equation with Nonlinear Strongly Damped Term
... the global attractors existence of Kirchhoff equation, we can refer [2] [3] [4] [5] ...the global attractors for the Higher-order Kirchhoff-type equation are investigated and we refer to [7] ...
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Global Attractors for a Class of Generalized Nonlinear Kirchhoff Sine Gordon Equation
... the global solution of the equation. For more research on the global solutions and global attractors of Kirchhoff and sine-Gordon equations, we refer the reader to ...
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The Global Attractors of the Solution for 2D Maxwell Navier Stokes with Extra Force Equations
... In recent years, the Maxwell-Navier-Stokes equations have been studied extensively, and the studies have obtained many achievements [1] [2]. The Maxwell-Navier-Stokes equations are a coupled system of equations ...
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Global Attractors and Dimension Estimation of the 2D Generalized MHD System with Extra Force
... In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solu- tions of a two dimensional generalized magnetohydrodynamic (MHD) system. Then the existence of the global ...
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Exponential Stability and Global Attractors for a Thermoelastic Bresse System
... We consider the stability properties for thermoelastic Bresse system which describes the motion of a linear planar shearable thermoelastic beam. The system consists of three wave equations and two heat equations coupled ...
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Parametrization of global attractors experimental observations and turbulence
... of attractors and the heuristic theory of Landau & Lifshitz: the number of points required is proportional to the attractor dimension d, and hence (in two dimensions) to the minimal length scales like d − 1/2 ...
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Existence of Global Attractors in for -Laplacian Parabolic Equation in
... Khanmamedov, “Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain,” Journal of Mathematical Analysis and Application[r] ...
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On finite dimensional attractors of homeomorphisms
... One may wonder whether global attractors are actually contractible. The answer is, in general, negative. A quick way to prove this is to observe that a contractible set must be path connected, and then ...
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Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping
... 2. Robinson, JC: Infinite Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge Texts in Applied Mathematics. Cambridge University Press, ...
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Uniform Attractors for a Non Autonomous Thermoviscoelastic Equation with Strong Damping
... the global existence of a classical solution to the thermoviscoelastic equations for a class of solid-like materials with the stress-free boundary conditions at one end of the ...unique global solvability ...
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Continuity of pullback and uniform attractors
... pullback attractors and uniform attractors of non-autonomous ...concerning attractors and Baire category theory in Section 2, in Section 3 we prove Theorem ...uniform attractors on the entire ...
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Lower semicontinuity of attractors for non autonomous dynamical systems
... the global attractor is given by the union of a countable number of unstable manifolds of global ...of global attractors described by the unstable manifolds of ...hyperbolic global ...
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