Results 21 to 30 of about 4,947,310 (278)
On finite-dimensional global attractors of homeomorphisms [PDF]
Bulletin of the London Mathematical Society, 2016 Let $E$ be a linear space and suppose that $A$ is the global attractor of either (i) a homeomorphism $F:E\rightarrow E$ or (ii) a semigroup $S(\cdot)$ 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 $F:A\rightarrow A$ (in the second case we set $F=S(t)$ for some $t>0$).
Sánchez-Gabites, Jaime. J +1 more
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Global Attractor for Second-Order Nonlinear Evolution Differential Inclusions
Complexity, 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by
Guangwang Su, Funing Lin
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Finite Dimensions of the Global Attractor for 3D Primitive Equations with Viscosity [PDF]
Journal of nonlinear science, 2015 For a set of non-periodic boundary conditions, we prove the uniform boundedness of the $$H^2$$H2 norms of the solutions of the 3D Primitive Equations with viscosity. An absorbing set of the solutions in $$H^2$$H2 is also obtained.
N. Ju, R. Temam
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Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns
Mathematical Modelling and Analysis, 2017 In this paper, we prove the existence of attractor for a new mechanochemical model with Neumann boundary conditions on a bounded domain of space dimension n ≤ 3.
Aibo Liu, Changchun Liu
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On the regularity of global attractors
Discrete & Continuous Dynamical Systems - A, 2009 This note is focused on a novel technique in order to establish the boundedness in more regular spaces for global attractors of dissipative dynamical systems, without appealing to uniform-in-time estimates. As an application of the abstract result, the semigroup generated by the strongly damped wave equation $$u_{tt}- u_t- u+ (u)=f$$ with critical ...
CONTI, MONICA, PATA, VITTORINO
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Climate Dynamics, 2018 Quantifying the predictability limits of chaotic systems and their forecast models is an important issue with both theoretical and practical significance.
Jianping Li, Jie Feng, R. Ding
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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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Compact global attractors of discrete inclusions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 Abstract The paper is dedicated to the study of the problem of the existence of compact global attractors of discrete inclusions and to the description of its structure. We consider a family of continuous mappings of a metric space W into itself, and ( W , f i ) i ∈ I is the family of discrete dynamical systems.
D. CHEBAN, MAMMANA, Cristiana
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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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Global Attractors of Evolutionary Systems [PDF]
Journal of Dynamics and Differential Equations, 2009 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 (NSE) for which the existence of a semigroup of solution operators is not known.
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