Results 31 to 40 of about 431 (64)

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
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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.
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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
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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
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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
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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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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
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Global Stabilization of the Navier-Stokes-Voight and the damped nonlinear wave equations by finite number of feedback controllers

, 2017
In this paper we introduce a finite-parameters feedback control algorithm for stabilizing solutions of the Navier-Stokes-Voigt equations, the strongly damped nonlinear wave equations and the nonlinear wave equation with nonlinear damping term, the ...
Kalantarov, Varga K., Titi, Edriss S.
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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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A squeezing property and its applications to a description of long time behaviour in the 3D viscous primitive equations

, 2012
We consider the 3D viscous primitive equations with periodic boundary conditions. These equations arise in the study of ocean dynamics and generate a dynamical system in a Sobolev H^1 type space.
Chueshov, Igor
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