Results 301 to 310 of about 1,351,782 (335)

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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 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 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

Exponential attractors for a partially dissipative reaction system

Asymptotic Analysis, 1996
After having established the existence of smooth absorbing sets, thanks to suitable a priori estimates, we obtain for a class of partially dissipative reaction systems a property known as squeezing property. This last leads to the existence of exponential attractors for which the fractal dimension is finite.
Fabrie, P., Galusinski, C.
openaire   +3 more sources

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
openaire   +3 more sources

Global and exponential attractors for mixtures of solids with Fourier’s law

Nonlinear Analysis: Real World Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Freitas, M. M., Ramos, A. J. A., Almeida Júnior, D. S., Aum, P. T. P., Almeida, J. L. L.   +4 more
openaire   +2 more sources

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.
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