Results 21 to 30 of about 403 (50)

Pullback attractor for a non-linear evolution equation in elasticity [PDF]

, 2014
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory.
Caraballo Garrido, Tomás, Colucci, Renato   +1 more
core   +1 more source

Existence and stability of fourth-order nonlinear plate problem

Nonautonomous Dynamical Systems, 2019
In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
doaj   +1 more source

H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains [PDF]

, 2011
We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the associate evolution process.
García Luengo, Julia María, Marín Rubio, Pedro, Real Anguas, José   +2 more
core   +1 more source

Asymptotic behavior for non-autonomous stochastic plate equation on unbounded domains

Open Mathematics, 2019
We study the asymptotic behavior of solutions to the non-autonomous stochastic plate equation driven by additive noise defined on unbounded domains.
Yao Xiaobin, Liu Xilan
doaj   +1 more source

On the Domain of Analyticity and Small Scales for the Solutions of the Damped-driven 2D Navier-Stokes Equations

, 2007
We obtain a logarithmically sharp estimate for the space-analyticity radius of the solutions of the damped-driven 2D Navier-Stokes equations with periodic boundary conditions and relate this to the small scales in this system.
Ilyin, Alexei A., Titi, Edriss S.
core   +3 more sources

Pullback attractors for a singularly nonautonomous plate equation [PDF]

, 2010
We consider the family of singularly nonautonomous plate equation with structural damping \[ u_{tt} + a(t,x)u_{t} + (- \Delta) u_{t} + (-\Delta)^{2} u + \lambda u = f(u), \] in a bounded domain $\Omega \subset \R^n$, with Navier boundary conditions. When
Karina Schiabel-silva, Marcelo Jos ´e Dias Nascimento, Parreira Da Silva, Ricardo, Vera L ´ucia Carbone   +4 more
core  

Random attractors for stochastic retarded strongly damped wave equations with additive noise on bounded domains

Open Mathematics, 2019
In this paper we study the asymptotic behavior for a class of stochastic retarded strongly damped wave equation with additive noise on a bounded smooth domain in ℝd. We get the existence of the random attractor for the random dynamical systems associated
Jia Xiaoyao, Ding Xiaoquan
doaj   +1 more source

Pullback attractors for fractional lattice systems with delays in weighted space

Open Mathematics
This article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
doaj   +1 more source

Random attractors for stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domains

Open Mathematics, 2018
In this paper we investigate the stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domain ℝn (n ≥ 2). We first transform the retarded reaction-diffusion equations into the deterministic reaction-diffusion ...
Jia Xiaoyao, Ding Xiaoquan, Gao Juanjuan
doaj   +1 more source

Limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays on unbounded thin domains

Demonstratio Mathematica
This study deals with the limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays and multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of pullback tempered random attractors for
Li Xintao, Pan Shiyao
doaj   +1 more source