Results 1 to 10 of about 309 (70)
Nonautonomous Conley Index Theory: The Homology Index and Attractor-Repeller decompositions [PDF]
arXiv, 2017 In a previous work, the author established a nonautonomous Conley index based on the interplay between a nonautonomous evolution operator and its skew-product formulation. This index is refined to obtain a Conley index for families of nonautonomous evolution operators. Different variants such as a categorial index, a homotopy index and a homology index
Axel Janig
arxiv +3 more sources
Random attractors for stochastic plate equations with memory in unbounded domains
Open Mathematics, 2021 In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform time estimates for solutions of the problem.
Yao Xiao Bin
doaj +1 more source
Advances in Nonlinear Analysis, 2022 This article deals with the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. The well-posedness and the existence of global attractor in the natural energy space by virtue of the Faedo-Galerkin method and energy ...
Yang Wenhua, Zhou Jun
doaj +1 more source
Open Mathematics, 2022 In this paper, the stochastic asymptotic behavior of the nonautonomous stochastic higher-order Kirchhoff equation with variable coefficients is studied.
Lv Penghui, Lin Guoguang, Sun Yuting
doaj +1 more source
Quasi-stability and continuity of attractors for nonlinear system of wave equations
Nonautonomous Dynamical Systems, 2021 In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M. +4 more
doaj +1 more source
Uniform attractors for non-autonomous suspension bridge-type equations
Boundary Value Problems, 2014 We discuss the long-time dynamical behavior of the non-autonomous suspension bridge-type equation, where the nonlinearity g(u,t) is translation compact and the time-dependent external forces h(x,t) only satisfy Condition (C∗) instead of being translation
Xuan Wang, Lu Yang, Qiaozhen Ma
semanticscholar +2 more sources
Open Mathematics, 2021 The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
doaj +1 more source
Reaction-diffusion equations in a noncylindrical thin domain
Boundary Value Problems, 2013 In this paper we are concerned with nonlinear reaction-diffusion equations posed in a time-dependent family of domains {Ωtϵ}t∈R⊂Rn+1 which collapses to a lower dimensional set as the parameter ϵ goes to 0.MSC:35K58, 35B41.
Jamil V Pereira, Ricardo P. Silva
semanticscholar +2 more sources
Global attractors for a class of semilinear degenerate parabolic equations
Open Mathematics, 2021 In this paper, we consider the long-time behavior for a class of semi-linear degenerate parabolic equations with the nonlinearity ff satisfying the polynomial growth of arbitrary p−1p-1 order.
Zhu Kaixuan, Xie Yongqin
doaj +1 more source
Demonstratio Mathematica, 2023 The Kirchhoff model is derived from the vibration problem of stretchable strings. This article focuses on the long-time dynamics of a class of higher-order coupled Kirchhoff systems with nonlinear strong damping.
Lv Penghui, Lin Guoguang, Lv Xiaojun
doaj +1 more source