Results 11 to 20 of about 55,646 (337)
Global attractors of evolutionary systems [PDF]
Journal of Dynamics and Differential Equations, 2006 An abstract framework for studying the asymptotic behavior of a dissipative evolutionary system $\mathcal{E}$ with respect to weak and strong topologies was introduced in [8] primarily to study the long-time behavior of the 3D Navier-Stokes equations ...
Cheskidov, Alexey
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The Construction of Global Attractors [PDF]
Proceedings of the American Mathematical Society, 1990 The purpose of this note is to show that every inverse limit space of an interval mapping can be realized as a global attractor for a homeomorphism of the plane.
Marcy Barge, Joe Martin
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Compact global attractors of discrete inclusions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 The aim of this paper is the study of the existence of compact global attractors of discrete inclusions and control systems. More precisely, on the metric space \(W\), the authors consider a discrete inclusion \(u_{t+1}\in F(u_t)\), associated with \({\mathfrak M}:= \{f_j,j\in J\}\), where \(F(u)= \{f(u)\mid f\in{\mathfrak M}\}\) for all \(u\in W ...
D. CHEBAN, MAMMANA, Cristiana
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, 2020 The second chapter of this book is dedicated to the study of different kinds of dissipativity for dynamical systems (both autonomous and nonautonomous): point, compact, local, bounded, and weak. Criteria for point, compact, and local dissipativity are given.
Ceban, D.N., Cheban, D.N.
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AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and
Grace Noveli Belvy Louvila +3 more
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Global Attractor for Impulsive Reaction-Diffusion Equation [PDF]
Nonlinear Oscillations, 2005 In this paper, we consider a reaction-diffusion equation with nonsmooth nonlinearity whose solutions have impulse effects at fixed moments of time. We show how this object generates a nonautonomous multivalued dynamical system and prove the existence of a compact semiinvariant global attractor in the phase space.
IOVANE, Gerardo, O. KAPUSTYAN
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AIMS Mathematics, 2020 In this article, we are interested in the study of Parabolic system of Cahn-Hilliard with a proliferation term and Dirichet boundary conditions. In particular, we prove the existence and the uniqueness of the solution, the existence of the global ...
Aymard Christbert Nimi, Daniel Moukoko
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Strong Global Attractors for 3D Wave Equations with Weakly Damping
Abstract and Applied Analysis, 2012 We consider the existence of the global attractor A1 for the 3D weakly damped wave equation. We prove that A1 is compact in (H2(Ω)∩H01(Ω))×H01(Ω) and attracts all bounded subsets of (H2(Ω)∩H01(Ω))×H01(Ω) with respect to the norm of (H2(Ω)∩H01(Ω))×H01(Ω).
Fengjuan Meng
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Quantum Zakharov Model in a Bounded Domain [PDF]
, 2011 We consider an initial boundary value problem for a quantum version of the Zakharov system arising in plasma physics. We prove the global well-posedness of this problem in some Sobolev type classes and study properties of solutions.
A. Babin +23 more
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A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]
, 2018 The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies.
Broche, Rita de Cássia D. S. +2 more
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