Results 231 to 240 of about 2,975 (258)

Exponential Attractors in Contact Problems

2016
In this chapter we consider two examples of contact problems. First, we study the problem of time asymptotics for a class of two-dimensional turbulent boundary driven flows subject to the Tresca friction law which naturally appears in lubrication theory.
Grzegorz Łukaszewicz, Piotr Kalita
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Exponential attractors for semiconductor equations

2006
This paper studies the asymptotic behaviour of solutions to the classical semiconductor equations due to Shockley. We will construct not only global solutions but also exponential attractors for the dynamical system determined from the Cauchy problem.
FAVINI, ANGELO, A. . LORENZI, A. YAGI
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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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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
Xingjie Yan, Wei Qi
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Exponential attractors for extensible beam equations

Nonlinearity, 1993
The authors transfer ideas and results of the classical theory of dynamical systems for ODE to a class of nonlinear dynamical boundary value problems for PDE which includes equations looking like beam and plate equations. They establish the existence of a compact attractor and some of its properties for this class of systems using energy methods and ...
Eden, A., Milani, A. J.
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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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A global attractor consisting of exponentially unstable equilibria

2013 American Control Conference, 2013
There exist examples in the literature of attractors consisting solely of unstable equilibria, but in these examples, the unstable equilibria are not exponentially unstable (the differentials of the vector fields at the unstable equilibria have no eigenvalues in the open right-half complex plane).
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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 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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A Remark on Two Constructions of Exponential Attractors for α-Contractions

Journal of Dynamics and Differential Equations, 1998
This paper proposes an improvement to the original constructions of exponential attractors. An exponential attractor for a continuous map on a compact invariant set \(B\) is a compact, invariant subset \(M\) of \(B\) with finite fractal dimension that contains the global attractor \(A\) which is the \(\omega\)-limit set of \(B\) and attracts all points
Eden, A., Foias, C., Kalantarov, V.
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