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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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Necessary and sufficient conditions for the existence of time-dependent global attractor and application

, 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
semanticscholar   +1 more source

The global attractor for a suspension bridge with memory and partially hinged boundary conditions

, 2017
Recently, Ferrero and Gazzola, [Disc. Cont. Dyn. Syst. 35: 5879–5908 (2015)], suggested and investigated a rectangular plate model describing the statics and dynamics of a suspension bridge.
S. Messaoudi, A. Bonfoh, S. E. Mukiawa, C. Enyi   +3 more
semanticscholar   +1 more source

Global attractors in electrohydrodynamics

International Journal of Engineering Science, 1997
The 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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Time-dependent global attractor for the nonclassical diffusion equations

, 2015
In this article, we consider the longtime behavior for the non classical diffusion equation on a bounded domain . We first prove the existence of time-dependent global attractors in , and then, we obtain the regularity of the time-dependent global ...
Tao Ding, Yong-feng Liu
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Global well‐posedness and global attractor of fourth order semilinear parabolic equation

, 2015
We study the initial boundary value problem of a class of fourth order semilinear parabolic equations. Global existence and nonexistence of solutions with initial data in the potential well are derived.
Runzhang Xu, Tianlong Chen, Chunmei Liu, Yunhua Ding   +3 more
semanticscholar   +1 more source

Cycles and Global Attractors of Reaction Systems

2014
Reaction 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, MANZONI, LUCA, PORRECA, ANTONIO ENRICO   +2 more
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Compact Global Attractors

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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Higher regularity of global attractor for a damped Benjamin–Bona–Mahony equation on R

, 2015
For one-dimensional damped Benjamin–Bona–Mahony equation, a recent result claimed that there exists a global attractor in , in fact the attractor is smoother and it belongs to for every .
Yantao Guo, Ming Wang, Yanbin Tang
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Finite dimensional global attractor for a Bose-Einstein equation in a two dimensional unbounded domain

, 2015
We study the long-time behavior of the solutions to a nonlinear damped driven Schrodinger type equation with quadratic potential on a strip. We prove that this behavior is described by a regular compact global attractor with finite fractal dimension.
B. Alouini
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