Results 311 to 320 of about 1,351,782 (335)

Exponential attractors for semigroups in Banach spaces

Nonlinear Analysis: Theory, Methods & Applications, 2012
The authors discussed the existence of exponential attractors for abstract semigroups in Banach spaces. Let \(X\) be a Banach space, \(\{S(t)\;|\;t\geq 0\}\) be a semigroup on \(X\), \(\mathcal{A}\) be the global attractor of \(\{S(t)\;|\;t\geq 0\}\), and \(B_{\varepsilon_0}(\mathcal{A})\) denote the \(\varepsilon_0\)-neighborhood of \(\mathcal{A}\) in
Zhong, Yansheng, Zhong, Chengkui
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Pullback exponential attractors with admissible exponential growth in the past

Nonlinear Analysis: Theory, Methods & Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite-Dimensional Attractors and Exponential Attractors for the Navier--Stokes Equations of Compressible Flow

SIAM Journal on Mathematical Analysis, 2003
Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
Hoff, David, Ziane, Mohammed
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Exponential attractors for a generalized ginzburg-landau equation

Applied Mathematics and Mechanics, 1995
Based on the paper [1], we obtain the existence of exponential attractors for a generalized Ginzburg-Landau equation in one ...
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Random Exponential Attractor for the 3D Non-autonomous Stochastic Damped Navier–Stokes Equation

Journal of Dynamics and Differential Equations, 2021
Zongfei Han, Shengfan Zhou
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Exponential attractor for a planar shear‐thinning flow

Mathematical Methods in the Applied Sciences, 2007
AbstractWe study the dynamics of an incompressible, homogeneous fluid of a power‐law type, with the stress tensor T = ν(1 + µ|Dv|)p−2Dv, where Dv is a symmetric velocity gradient. We consider the two‐dimensional problem with periodic boundary conditions and p ∈ (1, 2).
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Pullback Exponential Attractors for Nonautonomous Reaction–Diffusion Equations

International Journal of Bifurcation and Chaos, 2015
This paper presents a necessary and sufficient condition to prove the existence of the pullback exponential attractor. The asymptotic a priori estimate method is used to produce an abstract result on the existence of the pullback exponential attractor in a strong space without regularity. The established results are illustrated by applying them to the
Yan, Xingjie, Qi, Wei
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Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a $${{C^{1+\alpha}}}$$C1+α Stable Foliation, Including the Classical Lorenz Attractor

, 2015
We prove exponential decay of correlations for a class of $${C^{1+\alpha}}$$C1+α uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition.
V. Araújo, I. Melbourne
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A uniformly exponential random forward attractor which is not a pullback attractor

Archiv der Mathematik, 2002
The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
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Pullback Exponential Attractors for Non-autonomous Lattice Systems

Journal of Dynamics and Differential Equations, 2012
The authors first present some sufficient conditions for the existence and the construction of a pullback exponential attractor for the continuous process (non-autonomous dynamical system) on Banach spaces and weighted spaces of infinite sequences. Then they apply the results to study the existence of pullback exponential attractors for first-order non-
Zhou, Shengfan, Han, Xiaoying
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