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CONTINUITY OF GLOBAL ATTRACTORS FOR A CLASS OF NON LOCAL EVOLUTION EQUATIONS
(AMER INST MATHEMATICAL SCIENCES, 2010)
In this work we prove that the global attractors for the flow of the equation partial derivative m(r, t)/partial derivative t = -m(r, t) + g(beta J * m(r, t) + beta h), h, beta >= 0, are continuous with respect to the ...
Global attractor for the generalized double dispersion equation
(Pergamon-ElsevierOxford, 2015-03)
The paper studies the existence of global attractor for the generalized double dispersion equation arising in elastic waveguide model 'U IND.TT' −Δu−Δ'U IND.TT' +'Δ POT.2'u−Δ'U IND.T' − Δg(u) = f (x). The main result is ...
Global dynamics of the Rikitake system
(Elsevier B.V., 2009-02-01)
The Rikitake system is a three dimensional vector field obtained experimentally from a two-disk dynamo apparatus, which models the geomagnetic field and is used to explain the known irregular switch in its polarity. The ...
On Global Attractors for a Class of Parabolic Problems
(Natural Sciences Publishing Corp-nsp, 2014-03-01)
This paper is devoted to study the existence of global attractor in H-0(1)(Omega) and uniform bounds of it in L-infinity(Omega) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform ...
On global attractors for a class of parabolic problems
(2014-03-01)
This paper is devoted to study the existence of global attractor in H0 1 (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 ...
Global attractors for impulsive dynamical systems: a precompact approach
(Academic Press/ElsevierSan Diego, 2015-10)
In this work we give the definition of a global attractor of an impulsive dynamical system and obtain several important properties for this class of attractors. We prove the theorem on existence of such attractors and apply ...
Strongly damped wave equation and its Yosida approximations
(Juliusz Schauder Center for Nonlinear StudiesTorun, 2015)
In this work we study the continuity for the family of global attractors of the equations 'U IND. TT' - 'delta' u - 'delta' 'U IND. T' - 'épsilon' 'delta' 'U IND. TT' = f(u) at 'épsilon' = 0 when 'ômega' is a bounded smooth ...
Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
(Springer, 2015-12-01)
We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we ...
Global attractors for a system of elasticity with small delays
(Wiley-Blackwell, 2021-01-25)
This paper is concerned with dynamics of elasticity systems featuring a nonlinear foundation of critical growth and delay effects. The existence of global attractors for such systems has been studied recently. Our main ...
Dynamics of the viscous Cahn-Hilliard equation
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We study generalized viscous Cahn-Hilliard problems with nonlinearities satisfying critical growth conditions in W-0(1,p)(Omega), where Omega is a bounded smooth domain in R-n, n >= 3. In the critical growth case, we prove ...