Results 61 to 70 of about 4,947,310 (278)
Global attractors for the extensible thermoelastic beam system
Journal of Differential Equations, 2009 This work is focused on the dissipative system describing the dynamics of an extensible thermoelastic beam, where the dissipation is entirely contributed by the second equation ruling the evolution of the temperature. Under natural boundary conditions, we prove the existence of bounded absorbing sets.
GIORGI, Claudio +3 more
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Global dynamics of a reaction-diffusion system
Electronic Journal of Differential Equations, 2011 In this work the existence of a global attractor for the semiflow of weak solutions of a two-cell Brusselator system is proved. The method of grouping estimation is exploited to deal with the challenge in proving the absorbing property and the ...
Yuncheng You
doaj
Global attractors for semigroup actions on uniformizable spaces [PDF]
arXiv, 2018 In this paper the notion of global attractor is extended from the setting of semigroup actions on metric spaces to the setting of semigroup actions on uniformizable spaces. General conditions for the existence of global attractor are discussed and its relationship with the global uniform attractor is presented.
arxiv
Global attractors for p-Laplacian equation
Journal of Mathematical Analysis and Applications, 2007 AbstractThe existence of a (L2(Ω),W01,p(Ω)∩Lq(Ω))-global attractor is proved for the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g on a bounded domain Ω⊂Rn (n⩾3) with Dirichlet boundary condition, where p⩾2. The nonlinear term f is supposed to satisfy the polynomial growth condition of arbitrary order c1|u|q−k⩽f(u)u⩽c2|u|q+k and f′(u)⩾−l, where q⩾2 is ...
Chengkui Zhong, Meihua Yang, Chunyou Sun
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Global attractor for a nonlinear viscoelastic model
Journal of Mathematical Analysis and Applications, 2008 AbstractIn this paper we establish the existence of global attractors of a semiflow and a semigroup for a nonlinear 1-d viscoelasticity in two frameworks. We exploit the properties of the analytic semigroup to show the compactness for the semiflow and semigroup generated by the weak global solutions.
Yuming Qin, Tzon-Tzer Lu
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Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains [PDF]
arXiv, 2014 We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. We prove the existence of global attractor and then establish the regularity and finite dimensionality of this attractor.
arxiv
Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators [PDF]
, 2011 We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their existence for this model, supporting the fact that the long-term
G. Giacomin +2 more
semanticscholar +1 more source
On Global Attractors for a Class of Parabolic Problems [PDF]
Applied Mathematics & Information Sciences, 2014 This paper is devoted to study the existence of global attractor in H 1 0 (Ω) and uniform bounds of it in L ∞ (Ω) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform strongly elliptic operator of second order in the domain Ω R n .
Figueroa-López, Rodiak +1 more
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Asymptotic behavior for second order lattice dynamical systems
Discrete Dynamics in Nature and Society, 2001 We consider the existence of the global attractor for a second order lattice dynamical systems.
Shengfan Zhou
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Convergences of asymptotically autonomous pullback attractors towards semigroup attractors [PDF]
arXiv, 2017 For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
arxiv