Results 31 to 40 of about 4,947,310 (278)
Strong Global Attractors for 3D Wave Equations with Weakly Damping
Abstract and Applied Analysis, 2012 We consider the existence of the global attractor A1 for the 3D weakly damped wave equation. We prove that A1 is compact in (H2(Ω)∩H01(Ω))×H01(Ω) and attracts all bounded subsets of (H2(Ω)∩H01(Ω))×H01(Ω) with respect to the norm of (H2(Ω)∩H01(Ω))×H01(Ω).
Fengjuan Meng
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Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type
, 2018 We focus on the long time behavior of complex networks of reaction-diffusion systems. We prove the existence of the global attractor and the $L^{∞}$-bound for networks of $n$ reaction-diffusion systems that belong to a class that generalizes the FitzHugh-
B. Ambrosio, M. Aziz-Alaoui, V. Phan
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Attractors for Nonautonomous Parabolic Equations without Uniqueness
International Journal of Differential Equations, 2010 Using the theory of uniform global attractors of multivalued semiprocesses, we prove the existence of a uniform global attractor for a nonautonomous semilinear degenerate parabolic equation in which the conditions imposed on the nonlinearity provide the ...
Cung The Anh, Nguyen Dinh Binh
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Advances in Nonlinear Analysis, 2022 This article deals with the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. The well-posedness and the existence of global attractor in the natural energy space by virtue of the Faedo-Galerkin method and energy ...
Yang Wenhua, Zhou Jun
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Global attractor for a nonlocal p -Laplacian equation without uniqueness of solution
, 2017 In this paper, the existence of solution for a \begin{document} $p$ \end{document} -Laplacian parabolic equation with nonlocal diffusion is established. To do this, we make use of a change of variable which transforms the original problem into a nonlocal
T. Caraballo +2 more
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Statistical solution and piecewise Liouville theorem for the impulsive discrete Zakharov equations
AIMS Mathematics, 2022 This article studies the discrete Zakharov equations with impulsive effect. The authors first prove that the problem is global well-posed and that the process formed by the solution operators possesses a pullback attractor. Then they establish that there
Binbin Miao, Chongbin Xu, Caidi Zhao
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Regularity of Global Attractor for the Reaction-Diffusion Equation
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 ...
Hong Luo
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Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity
International Journal of Mathematics and Mathematical Sciences, 2011 We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition u(x,0)=u0(x). We prove existence of a global attractor in space H2(Ω), by using decomposition method with cut-off function and ...
Zai-yun Zhang, Zhen-hai Liu
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The finite dimensional global attractor for the 3D viscous Primitive Equations
, 2016 A new method is presented to prove finiteness of the fractal and Hausdorff dimensions of the global attractor for the strong solutions to the 3D Primitive Equations (PEs) with viscosity, which is applicable to more general situations than the ...
N. Ju
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Finite‐dimensional global attractor for a semi‐discrete fractional nonlinear Schrödinger equation
, 2017 We consider a semi‐discrete in time Crank–Nicolson scheme to discretize a weakly damped forced nonlinear fractional Schrödinger equation ut−i(−Δ)αu+i|u|2u+γu=f for α∈(12,1) considered in the the whole space R .
C. Calgaro, O. Goubet, E. Zahrouni
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