Results 31 to 40 of about 440 (63)
EXISTENCE OF GLOBAL ATTRACTOR FOR CAUCHY PROBLEMS
, 2013 . We investigate the existence of a global attractor forthe Cauchy problem x 0 ( t ) = Ax ( t ) + F ( x ( t )) ; x (0) = x 0 2 X on a Banach space X according to the remark in You and Yuan’spaper. 1.
S. Choi +3 more
semanticscholar +1 more source
Finite--dimensional global attractor for a system modeling the 2D nematic liquid crystal flow
, 2011 We consider a 2D system that models the nematic liquid crystal flow through the Navier--Stokes equations suitably coupled with a transport-reaction-diffusion equation for the averaged molecular orientations.
Grasselli, Maurizio, Wu, Hao
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
, 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
Long-time behaviour for Hirota equation
, 2012 In this paper, we investigate the long-time behavior of the solutions for the Hirota equation with the periodic boundary condition. At first, by time uniform priori estimates of solutions, we obtain the existence of global solutions.
X. Guo, Chaosheng Zhu
semanticscholar +1 more source
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
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
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 +4 more
core
Bi-spaces global attractors in abstract parabolic equations
, 2003 An abstract semilinear parabolic equation in a Banach space X is considered. Under general assumptions on nonlinearity this problem is shown to generate a bounded dissipative semigroup on X.
J. Cholewa, Tomasz Dłotko
semanticscholar +1 more source
Abstract parabolic problems in ordered Banach spaces
, 2001 Parabolic Problems in Ordered Banach Spaces Alexandre N. Carvalho* Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brazil E-mail ...
A. Carvalho, J. Cholewa, Tomasz Dłotko
semanticscholar +1 more source