Results 281 to 290 of about 1,859,718 (319)

Exponential attractors for the strongly damped wave equation

Applied Mathematics and Computation, 2013
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Ke Li, Zhijian Yang
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Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system

Journal of Mathematics and Physics, 2019
In this paper, we consider a new Timoshenko beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model. Heat and mass exchange with the environment during thermodiffusion in Timoshenko beam, depending on the past history of ...
M. Aouadi, A. Castejón
semanticscholar   +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
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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.
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Pullback exponential attractors for the non-autonomous micropolar fluid flows

Acta Mathematica Scientia, 2018
This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of ...
Wen-Long Sun, Yeping Li
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Exponential Attractor for a Class of Nonclassical Diusion Equation

Journal of Partial Differential Equations, 2003
In this paper, the following initial boundary value problem of the nonclassical diffusion equation \[ u_t-\nu\Delta u_t- \lambda\Delta u+ g(u)= f(x),\quad (x,t)\in \Omega\times \mathbb{R}^+,\tag{1} \] \[ u(x,0)= u_0(x),\quad x\in\Omega, \] \[ u(x,t)= 0,\quad (x,t)\in \partial\Omega\times \mathbb{R}^+ \] is considered, where \(\lambda\) is a positive ...
Shang, Yadong, Guo, Boling
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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.
David Hoff, Mohammed B. Ziane
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Coexistence of multi-scroll chaotic attractors for fractional systems with exponential law and non-singular kernel

Chaos, Solitons & Fractals, 2020
In this paper, we present mathematical analysis and numerical simulation of a three-dimensional autonomous fractional system with coexistence of multi-scroll chaotic attractors.
D. Mathale, E. F. Doungmo Goufo, M. Khumalo   +2 more
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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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