Results 301 to 310 of about 27,544 (311)

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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Exponential attractor for the 3D Ginzburg–Landau type equation

Nonlinear Analysis: Theory, Methods & Applications, 2007
The authors consider the following initial value problem for 3D Ginzburgh-Landau type equation to \(\Omega\)-periodic function \(u\), \(\Omega=[0,L]\times [0,L]\times [0,L]\) \[ u_t-(1+i\nu)\Delta u+(1+i\mu)| u| ^{2\sigma}u-\gamma u=0,\quad u(x,0)=u_0(x) \] Under some additional assumptions on parameters \(\sigma,\mu,\nu\) and \(\gamma>0\) the ...
Lü, Shujuan, Lu, Qishao
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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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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 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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Exponential Attractors for Lattice Dynamical Systems in Weighted Spaces

Acta Applicandae Mathematicae, 2011
This paper considers the asymptotic behaviour of infinite-dimensional lattice dynamical systems of reaction diffusion type in weighted lattice spaces. In particular, for the discrete reaction diffusion system \[ \dot{u}_{i}=\nu \, (u_{i-1}-2 u_{i}+u_{i+1}) + f(u_{i})+g_{i}, \,\,\, i \in {\mathbb Z} \] and the partly dissipative system \[ \dot{u}_{i ...
Li, Xiaojun, Wei, Kaijin, Zhang, Haiyun
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Exponential attractors for a singularly perturbed Cahn‐Hilliard system

Mathematische Nachrichten, 2004
AbstractOur aim in this article is to give a construction of exponential attractors that are continuous under perturbations of the underlying semigroup. We note that the continuity is obtained without time shifts as it was the case in previous studies.
Efendiev, M, Miranville, A, Zelik, S
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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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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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Exponential Attractors

2004
Albert J. Milani, Norbert J. Koksch
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