Results 221 to 230 of about 2,999 (259)

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).
exaly   +3 more sources

THE EXPONENTIAL ATTRACTOR FOR THE EQUATIONS OF THERMOHYDRAULICS

Acta Mathematica Scientia, 2005
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Guo, Boling, Du, Xianyun
openaire   +2 more sources

Exponential Attractors in Banach Spaces

Journal of Dynamics and Differential Equations, 2001
Let \(E\) be a Banach space, \(U\subset E\) an open set and \(S:U\rightarrow E\) a \(C^1\)-map. The authors consider the discrete dynamical system (DS) \(\{S^n\}_{n=1}^{\infty}\) generated by \(S\), extending the theory of exponential attractors from such DS in Hilbert space [\textit{A. Eden, C. Foias, B. Nicolaenko} and \textit{R.
Dung, L., Nicolaenko, B.
openaire   +1 more source

Exponential Attractors in Generalized Relativistic Billiards

Communications in Mathematical Physics, 2004
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Deryabin, M. V., Pustyl'nikov, L. D.
openaire   +2 more sources

Finite‐dimensional attractors and exponential attractors for degenerate doubly nonlinear equations

Mathematical Methods in the Applied Sciences, 2009
AbstractWe consider the following doubly nonlinear parabolic equation in a bounded domain Ω⊂ℝ3:where the nonlinearityfis allowed to have a degeneracy with respect to ∂tuof the form ∂tu|∂tu|pat some pointsx∈Ω.Under some natural assumptions on the nonlinearitiesfandg, we prove the existence and uniqueness of a solution of that problem and establish the ...
Efendiev, M, Zelik, S
openaire   +3 more sources

Exponential attractors for the strongly damped wave equation

Applied Mathematics and Computation, 2013
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Ke Li, Zhijian Yang
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source