Results 41 to 50 of about 54,142 (287)
Time-Dependent Attractor for the Oscillon Equation [PDF]
, 2010 We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Klein-Gordon equation in an expanding background, in one space dimension with periodic boundary conditions, with a nonlinear potential of arbitrary polynomial ...
Di Plinio, Francesco +2 more
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On finite-dimensional global attractors of homeomorphisms [PDF]
Bulletin of the London Mathematical Society, 2016 Let E be a normed linear space and suppose that A is the global attractor of either (i) a homeomorphism F : E → E or (ii) a semigroup S(·) on E that is injective on A. In both cases, A has trivial shape, and the dynamics on A can be described by a homeomorphism F: A → A (in the second case we set F = S(t) for some t > 0).
Robinson, James C. +1 more
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Incompressible flow in porous media with fractional diffusion [PDF]
, 2008 In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy's law. We show formation of singularities with infinite energy and for finite energy we obtain existence and
Bear J +13 more
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Global attractor in competitive Lotka–Volterra systems [PDF]
Mathematische Nachrichten, 2009 AbstractFor autonomous Lotka–Volterra systems of differential equations modelling the dynamics of n competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at a steady state whereas the others, if any, will die out ...
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Attractors for a class of doubly nonlinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2006 In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2 ...
Hamid El Ouardi, Abderrahmane El Hachimi
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Longtime Dynamics of The Oregonator System
, 2011 In this work the existence and properties of a global attractor for the solution semiflow of the Oregonator system are proved. The Oregonator system is the mathematical model of the famous Belousov-Zhabotinskii reaction.
You, Yuncheng
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Global attractors for multivalued random dynamical systems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2002 We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour of some multivalued stochastic parabolic equations by generalizing the concept of global random attractor to the case of a MRDS.
Caraballo Garrido, Tomás +2 more
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Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction
, 2017 In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence ...
Iuorio, Annalisa, Melchionna, Stefano
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Global attractors for semigroup actions
Journal of Mathematical Analysis and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Souza, Josiney A. +1 more
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Discrete Dynamics in Nature and Society, 2015 We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0, in Rn×R+; u(x,0)=u0(x), in Rn.
Jin Zhang, Chengkui Zhong
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