Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation.
Abdallah, Ahmed Y. (2005)
Abstract and Applied Analysis
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Abdallah, Ahmed Y. (2005)
Abstract and Applied Analysis
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Abdallah, Ahmed Y. (2005)
Journal of Applied Mathematics
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Fan, Xiaoming (2008)
Journal of Applied Mathematics
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Li, Xiaojun, Lv, Haishen (2009)
Advances in Difference Equations [electronic only]
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Zhang, Zai-Yun, Liu, Zhen-Hai (2011)
International Journal of Mathematics and Mathematical Sciences
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Hamid El Ouardi (2007)
Archivum Mathematicum
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This paper is concerned with the asymptotic behaviour of a class of doubly nonlinear parabolic systems. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
Tomás Caraballo, Francisco Morillas, José Valero (2015)
Nonautonomous Dynamical Systems
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In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.
Goatin, P., LeFloch, P.G. (2001)
Portugaliae Mathematica. Nova Série
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Xiaopeng Zhao, Changchun Liu (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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This paper is concerned with the convective Cahn-Hilliard equation. We use a classical theorem on existence of a global attractor to derive that the convective Cahn-Hilliard equation possesses a global attractor on some subset of H².