Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls
Electronic Journal of Differential Equations, 2006 In a previous article [7], we proposed a model of phase separation in a binary mixture confined to a bounded region which may be contained within porous walls. The boundary conditions were derived from a mass conservation law and variational methods.
Ciprian G. Gal
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Global attractor for an equation modelling a thermostat
Electronic Journal of Differential Equations, 2003 In this work we show that the system considered by Guidotti and Merino in [2] as a model for a thermostat has a global attractor and, assuming that the parameter is small enough, the origin is globally asymptotically stable.
Rita de Cassia D. S. Broche +2 more
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Global Attractors of the Extensible Plate Equations with Nonlinear Damping and Memory
Journal of Function Spaces, 2017 We prove in this paper the existence of a global attractor for the plate equations of Kirchhoff type with nonlinear damping and memory using the contraction function method.
Xiaobin Yao, Qiaozhen Ma
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Fixed points of the Barnsley-Hutchinson operators induced by hyper-condensing maps
Le Matematiche, 2005 The aim of this note is to show that the Barnsley-Hutchinson operator, induced by either single h-bounded hyper-condensing map or a compact infinite family of such maps, admits a maximal fixed point and global attractor.Under suitable continuity ...
Krzysztof Leśniak
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Chaotic oscillations in a model of suspended elastic cable under planar excitation
Computer Assisted Methods in Engineering and Science, 2023 The single mode equation of motion of a suspended elastic cable under planar excitation is considered, and numerical exploration is focused on the chaotic oscillations which occur in a certain domain of system control parameters.
Wanda Szemplińska-Stupnicka +2 more
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Pullback and uniform exponential attractors for non-autonomous Oregonator systems
Open MathematicsWe consider the long-time global dynamics of non-autonomous Oregonator systems. This system is a coupled system of three reaction-diffusion equations, that arises from the Belousov-Zhabotinskii reaction.
Liu Na, Yu Yang-Yang
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Global attractor for a semilinear parabolic equation involving Grushin operator
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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Cross diffusion systems on n spatial dimensional domains
Electronic Journal of Differential Equations, 2003 We show that there exists a global attractor for a triangular cross diffusion system with Lotka-Volterra reaction given on a two dimensional domain.
Dung Le
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Structure and stability of global attractors for a Cahn-Hilliard tumor growth model with chemotaxis
Electronic Journal of Differential EquationsIn this article, we analyze the long-time dynamics of a Cahn-Hilliard tumor growth model, focusing on the geometric structure and stability of its global attractors.
Sema Yayla
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Finite fractal dimensionality of attractors for nonlocal evolution equations
Electronic Journal of Differential Equations, 2013 In this work we consider the Dirichlet problem governed by a non local evolution equation. We prove the existence of exponential attractors for the flow generated by this problem, and as a consequence we obtain the finite dimensionality of the global
Severino Horacio da Silva +1 more
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