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Global attractor for the regularized Bénard problem
Applicable Analysis, 2014In this paper, we study the asymptotic behaviour of weak solutions for the regularized Benard problem. We establish the global existence and uniqueness of weak solutions of this problem and give a proof for the existence of global attractor in the three-dimensional case for this system.
Meryem Kaya, A. Çelebi
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Global attractor of atmospheric equations
Asymptotic Analysis, 2016We consider the three-dimensional primitive equations of the atmosphere with humidity and saturation associated with suitable boundary conditions. These equations have been shown to lead to well-posed problem producing a continuous semigroup despite the discontinuities due to the change of phase between vapor water and liquid water.
Youngjoon Hong
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Global attractor for Hirota equation [PDF]
Applied Mathematics-A Journal of Chinese Universities, 2008 The long time behavior of solution for Hirota equation with zero order dissipation is studied. The global weak attractor for this system in Hperk is constructed. And then by exact analysis of the energy equation, it is shown that the global weak attractor is actually the global strong attractor in Hperk.
Rui-feng Zhang, Bo-ling Guo
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Zeitschrift für Angewandte Mathematik und Physik, 2016
The objective of this paper is to study the existence of a global attractor in $$(H^2(\Omega ))^3\cap V$$(H2(Ω))3∩V for the three-dimensional autonomous primitive equations of large-scale ocean and atmosphere dynamics. According to the regularity results
Bo You, Fang Li
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The objective of this paper is to study the existence of a global attractor in $$(H^2(\Omega ))^3\cap V$$(H2(Ω))3∩V for the three-dimensional autonomous primitive equations of large-scale ocean and atmosphere dynamics. According to the regularity results
Bo You, Fang Li
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, 2017
In this paper, we are concerned with infinite dimensional dynamical systems in time-dependent space. First, we characterize some necessary and sufficient conditions for the existence of the time-dependent global attractor by using a measure of ...
Fengjuan Meng, Cuncai Liu
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In this paper, we are concerned with infinite dimensional dynamical systems in time-dependent space. First, we characterize some necessary and sufficient conditions for the existence of the time-dependent global attractor by using a measure of ...
Fengjuan Meng, Cuncai Liu
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Global attractors for piezoelectric solids [PDF]
ANNALI DELL UNIVERSITA DI FERRARA, 2004 The Galerkin method is applied to study an hyperbolic-elliptic initial-boundary value problem in the theory of piezoelectric solids. We prove that the semigroup generated by the corresponding dynamical system has a global attractor.
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Global attractors in electrohydrodynamics
International Journal of Engineering Science, 1997The Faedo-Galerkin method is applied to study an initial-boundary value problem in electrohydrodynamics. We prove that the semigroup generated by the corresponding dynamical system has a global attractor of finite Hausdorff dimension.
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Cycles and Global Attractors of Reaction Systems
2014Reaction systems are a recent formal model inspired by the chemical reactions that happen inside cells and possess many different dynamical behaviours. In this work we continue a recent investigation of the complexity of detecting some interesting dynamical behaviours in reaction system. We prove that detecting global behaviours such as the presence of
Formenti, E +2 more
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2020
The second chapter of this book is dedicated to the study of different kinds of dissipativity for dynamical systems (both autonomous and nonautonomous): point, compact, local, bounded, and weak. Criteria for point, compact, and local dissipativity are given.
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The second chapter of this book is dedicated to the study of different kinds of dissipativity for dynamical systems (both autonomous and nonautonomous): point, compact, local, bounded, and weak. Criteria for point, compact, and local dissipativity are given.
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