Results 261 to 270 of about 20,694 (296)

THE EXPONENTIAL ATTRACTOR FOR THE EQUATIONS OF THERMOHYDRAULICS

Acta Mathematica Scientia, 2005
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Guo, Boling, Du, Xianyun
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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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Exponential Attractors for the Generalized Ginzburg-Landau Equation

Acta Mathematica Sinica, 2000
Global fast dynamics of the generalized Ginzburg-Landau equation is considered in two spatial dimensions, squeezing property and the existence of finite-dimensional exponential attractors for that equation are presented.
Guo, Boling, Wang, Bixiang
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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 Attractor for a Nonlinear Boussinesq Equation

Acta Mathematicae Applicatae Sinica, English Series, 2006
This paper is devoted to prove the existence of an exponential attractor for the semiflow generated by a nonlinear Boussinesq equation. We formulate the Boussinesq equation as an abstract equation in the Hilbert space \(H^2_0(0,1)\times L^2(0,1)\). The main step in this research is to show that there exists an absorbing set for the solution semiflow in
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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 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
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