Results 51 to 60 of about 4,947,310 (278)
Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory
, 2015 We analyse the longterm properties of a $C_0-$semigroup describing the solutions to a nonlinear thermoelastic diffusion plate, recently derived by Aouadi [1], where the heat and diffusion flux depends on the past history of the temperature and the ...
M. Aouadi, A. Miranville
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Global attractor for weakly damped gKdV equations in higher sobolev spaces
, 2015 Long time behavior of solutions for weakly damped gKdV equations on the real line is studied. With some weak regularity assumptions on the force $f$, we prove the existence of global attractor in $H^s$ for any $s\geq 1$.
Ming Wang
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Pointed shape and global attractors for metrizable spaces [PDF]
Topology and its Applications, 2011 In this paper we consider two notions of attractors for semidynamical systems de ned in metric spaces. We show that Borsuk's weak and strong shape theories are a convenient framework to study the global properties which the attractor inherits from the phase space.
Romero Ruiz Del Portal, Francisco +4 more
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Global attractors for semigroup actions
Journal of Mathematical Analysis and Applications, 2013 Abstract In this paper the notions of global attractor and global uniform attractor are extended to the setting of general semigroup actions. We study the necessary and sufficient conditions for the existence of the global attractor for semigroups acting on noncompact metric spaces.
Stephanie A. Raminelli, Josiney A. Souza
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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
doaj +1 more source
Global Topology from an Embedding [PDF]
, 2007 An embedding of chaotic data into a suitable phase space creates a diffeomorphism of the original attractor with the reconstructed attractor. Although diffeomorphic, the original and reconstructed attractors may not be topologically equivalent. In a previous work we showed how the original and reconstructed attractors can differ when the original is ...
arxiv +1 more source
Structure and regularity of the global attractor of a reaction-di{\S}usion equation with non-smooth nonlinear term [PDF]
, 2012 In this paper we study the structure of the global attractor for a reaction- di{\S}usion equation in which uniqueness of the Cauchy problem is not guarantied.
O. Kapustyan, P. Kasyanov, J. Valero
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A Proof of the Global Attractor Conjecture in the Single Linkage Class Case [PDF]
SIAM Journal on Applied Mathematics, 2011 This paper is concerned with the dynamical properties of deterministically modeled chemical reaction systems. Specifically, this paper provides a proof of the Global Attractor Conjecture in the setting where the underlying reaction diagram consists of a ...
David F. Anderson
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Global Attractor for Sectorial Evolutionary Equation
Journal of Differential Equations, 1996 AbstractAn abstract differential equation with sectorial operator is shown to generate a dissipative semigroup whenever an appropriate introductory estimate for solutions is known. Based on Hale's theory ofdissipative systemssuch ana prioriestimate is then shown to be sufficient for existence of a global attractor.
Tomasz Dlotko, Jan W. Cholewa
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Notes on the Global Attractors for Semigroup
International Journal of Modern Nonlinear Theory and Application, 2013 First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic properties. Finally, we prove that these two conditions are equivalent directly.
Yuhua Shi, Lan Xu
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