Results 11 to 20 of about 4,955,233 (291)
Global Attractor of Atmospheric Circulation Equations with Humidity Effect
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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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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Global Attractor for Sectorial Evolutionary Equation [PDF]
Journal of Differential Equations, 1996 Let \(A\) be a sectorial operator with compact resolvent in an appropriate Banach space and consider the evolution equation \(\dot u + Au = F(u)\), \(t > 0\), \(u(0) = u_0\). The authors show that this problem generates a dissipative semigroup whenever an appropriate introductory estimate for solutions is known.
Cholewa, Jan W., Dlotko, Tomasz
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Global attractor for a semilinear parabolic equation involving Grushin operator [PDF]
Electronic Journal of Differential Equations, 2008 The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung +3 more
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On the global attractor of delay differential equations with unimodal feedback [PDF]
, 2009 We give bounds for the global attractor of the delay differential equation x(over dot) (t) = -mu x(t) + f(x(t - tau)), where f is unimodal and has negative Schwarzian derivative.
Liz, Eduardo +3 more
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Global Attractors of Evolutionary Systems [PDF]
Journal of Dynamics and Differential Equations, 2009 An abstract framework for studying the asymptotic behavior of a dissipative evolutionary system $\mathcal{E}$ with respect to weak and strong topologies was introduced in [8] primarily to study the long-time behavior of the 3D Navier-Stokes equations (NSE) for which the existence of a semigroup of solution operators is not known.
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Compact global attractors of discrete inclusions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 The aim of this paper is the study of the existence of compact global attractors of discrete inclusions and control systems. More precisely, on the metric space \(W\), the authors consider a discrete inclusion \(u_{t+1}\in F(u_t)\), associated with \({\mathfrak M}:= \{f_j,j\in J\}\), where \(F(u)= \{f(u)\mid f\in{\mathfrak M}\}\) for all \(u\in W ...
D. CHEBAN, MAMMANA, Cristiana
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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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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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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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