Upper-semicontinuity of the global attractors for a class of nonlocal Cahn-Hilliard equations [PDF]
arXiv, 2018 The aim of this work is to examine the upper-semicontinuity properties of the family of global attractors admitted by a non-isothermal viscous relaxation of some nonlocal Cahn-Hilliard equations. We prove that the family of global attractors is upper-semicontinuous as the perturbation parameters vanish.
arxiv
Orbit equivalence of global attractors of semilinear parabolic differential equations [PDF]
, 1999 Bernold Fiedler, Carlos Rocha
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Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
Journal of Applied Mathematics, 2014 We consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary ...
Danxia Wang, Jianwen Zhang, Yinzhu Wang
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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 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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Existence of the global attractor for the plate equation with nonlocal nonlinearity in R^{n} [PDF]
arXiv, 2015 We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.
arxiv
Global attractor of the extended Fisher-Kolmogorov equation in
Boundary Value Problems, 2011 The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the
Luo Hong
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The finite dimensions and determining modes of the global attractor for 2d Boussinesq equations with fractional Laplacian [PDF]
arXiv, 2016 In this article, we prove the finite dimensionality of the global attractor and estimate the numbers of the determining modes for the 2D Boussinesq system in a periodic channel with fractional Laplacian in subcritical case.
arxiv
Examples of global attractors in parabolic problems [PDF]
, 2000 Jan W. Cholewa, Tomasz Dłotko
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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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