Results 1 to 10 of about 46,976 (223)
Generalized Concentration-Compactness Principles for Variable Exponent Lebesgue Spaces with Asymptotic Analysis of Low Energy Extremals [PDF]
Mathematics, 2020 In this paper, we prove two generalized concentration-compactness principles for variable exponent Lebesgue spaces and as an application study the asymptotic behaviour of low energy extremals.
Zia Bashir +3 more
doaj +4 more sources
Periodic random attractors for stochastic Navier-Stokes equations on unbounded domains
Electronic Journal of Differential Equations, 2012 This article concerns the asymptotic behavior of solutions to the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Bixiang Wang
doaj +3 more sources
Bulletin of Mathematical Sciences, 2021 This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
doaj +1 more source
Advances in Difference Equations, 2020 This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate.
Huazhen Yao, Jianwen Zhang
doaj +1 more source
Dynamics of plate equations with time delay driven by additive noise in R n $\mathbb{R}^{n}$
Journal of Inequalities and Applications, 2023 This paper is concerned with the asymptotic behavior of solutions for plate equations with delay blurred by additive noise in R n $\mathbb{R}^{n}$ . First, we obtain the uniform compactness of pullback random attractors of the problem, then derive the ...
Xiaobin Yao
doaj +1 more source
Random Attractor for Stochastic Wave Equation with Arbitrary Exponent and Additive Noise on $\mathbb{R}^n$ [PDF]
, 2014 Asymptotic random dynamics of weak solutions for a damped stochastic wave equation with the nonlinearity of arbitrarily large exponent and the additive noise on $\mathbb{R}^n$ is investigated.
Li, Hongyan, You, Yuncheng
core +1 more source
Advances in Nonlinear Analysis, 2023 We consider the nonlinear elliptic–parabolic boundary value problem involving the Dirichlet-to-Neumann operator of p-Laplace type at the critical Sobolev exponent.
Deng Yanhua, Tan Zhong, Xie Minghong
doaj +1 more source
Uniform attractors for the non-autonomous suspension bridge equation with time delay
Journal of Inequalities and Applications, 2019 In this paper, we investigate the existence of a uniform attractor for the non-autonomous suspension bridge equation with time delay by using the energy function and uniform asymptotic compactness of the process.
Su-ping Wang, Qiao-zhen Ma
doaj +1 more source
H-compactness of elliptic operators on weighted Riemannian Manifolds [PDF]
, 2019 In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapidly ...
Hoppe, Helmer +2 more
core +3 more sources
Strong Uniform Attractors for Non-Autonomous Dissipative PDEs with non translation-compact external forces [PDF]
, 2014 We give a comprehensive study of strong uniform attractors of non-autonomous dissipative systems for the case where the external forces are not translation compact.
Zelik, Sergey
core +2 more sources