Results 21 to 30 of about 309 (70)
Asymptotic Behavior of the Newton-Boussinesq Equation in a Two-Dimensional Channel [PDF]
Nonlinear Analysis, 70 (2009) 2000-2013, 2007 We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the uniform estimates on the tails of solutions. We also establish the regularity of the global attractor.
arxiv +1 more source
Asymptotic behavior of stochastic p-Laplacian-type equation with multiplicative noise
Boundary Value Problems, 2012 The unique existence of solutions to stochastic p-Laplacian-type equation with forced term satisfying some growth and dissipative conditions is established for the initial value in L2(D).
Wenqiang Zhao
semanticscholar +1 more source
Dynamics of non-autonomous equations of non-Newtonian fluid on 2D unbounded domains
, 2013 2000 Mathematics Subject Classification. Primary 35B41; 35Q35; Secondary 76D03.
Caidi Zhao
semanticscholar +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
Anomalous diffusion in polymers: long-time behaviour [PDF]
, 2009 We study the Dirichlet boundary value problem for viscoelastic diffusion in polymers. We show that its weak solutions generate a dissipative semiflow. We construct the minimal trajectory attractor and the global attractor for this problem.
arxiv +1 more source
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
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
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