Results 41 to 50 of about 445 (66)

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
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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  

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  

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

Uniform boundedness of the attractor in H2 of a non-autonomous epidemiological system [PDF]

, 2018
In this paper, we prove the uniform boundedness of the pullback attractor of a non-autonomous SIR (susceptible, infected, recovered) model from epidemiology considered in Anguiano and Kloeden [M. Anguiano, P.E.
Anguiano Moreno, María
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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

Effect of hyperviscosity on the Navier-Stokes turbulence

, 2010
In this paper we modified the Navier-Stokes equations by adding a higher order artificial viscosity term to the conventional system. We first show that the solution of the regularized system converges strongly to the solution of the conventional system ...
Younsi, Abdelhafid
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Periodic Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Domains

, 2012
This paper is concerned with the asymptotic behavior of solutions of the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Wang, Bixiang
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Dynamics for wave equations connected in parallel with nonlinear localized damping

Advances in Nonlinear Analysis
This study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
doaj   +1 more source