Results 31 to 40 of about 403 (50)

Global and exponential attractors for the Penrose-Fife system

, 2008
The Penrose-Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved.
Schimperna, Giulio
core   +2 more sources

Periodic measures of fractional stochastic discrete wave equations with nonlinear noise

Demonstratio Mathematica
The primary focus of this work lies in the exploration of the limiting dynamics governing fractional stochastic discrete wave equations with nonlinear noise.
Li Xintao, She Lianbing, Yao Jingjing
doaj   +1 more source

A Determining Form for a Nonlocal System

Advanced Nonlinear Studies, 2017
This work is concerned with constructing a finite dimensional form (named determining form) by adding a feedback control term through an interpolation operator. The dynamics of the determining form is consistent with those of the original system.
Bai Lu, Yang Meihua
doaj   +1 more source

Random attractors of Kirchhoff-type reaction–diffusion equations without uniqueness driven by nonlinear colored noise

Open Mathematics
In this article, we consider the asymptotic behavior of solutions for the Kirchhoff-type reaction–diffusion equations driven by a nonlinear colored noise defined on unbounded domains. We prove the existence and uniqueness of pullback random attractors by
Zhang Zhang, Yao Xiaobin
doaj   +1 more source

On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

Open Mathematics
In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is ...
Al-Gharabli Mohammad M.
doaj   +1 more source

H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation [PDF]

, 2010
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H2-boundedness of invariant sets for an evolution process.
Anguiano Moreno, María, Caraballo Garrido, Tomás, Real Anguas, José   +2 more
core  

Global attractor of the extended Fisher-Kolmogorov equation in H^k spaces

Boundary Value Problems, 2011
The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the
Luo Hong
doaj  

An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation [PDF]

, 2001
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established.
Anguiano Moreno, María, Caraballo Garrido, Tomás, Real Anguas, José   +2 more
core  

Pullback attractor of the 2D non-autonomous magneto-micropolar fluid equations

Open Mathematics
The purpose of this article is to establish the existence of the pullback attractors for the non-autonomous magneto-micropolar fluid equations in 2D bounded domains.
Zhou Gang, Gao Rui, Tian Congyang
doaj   +1 more source

Pullback attractors for a class of second-order delay evolution equations with dispersive and dissipative terms on unbounded domain

Open Mathematics
In this article, we investigate the long-time behavior for the ill-posed problems ∂2u∂t2+∂u∂t+λu−Δu−Δ∂u∂t−Δ∂2u∂t2=f(t,u(x,t−ρ(t)))+g(t,x),in(τ,+∞)×RN,\frac{{\partial }^{2}u}{\partial {t}^{2}}+\frac{\partial u}{\partial t}+\lambda u-\Delta u-\Delta \frac{\
Zhang Fang-hong
doaj   +1 more source