@article{Ban2025, 
author = {Ailing Ban},
title = {Asymptotic behavior of non-autonomous stochastic Boussinesq lattice system},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {839-857},
keywords = {multiplicative white noise, random uniform exponential attractor, Boussinesq lattice equations, quasi-periodic forces},
url = {https://www.sciopen.com/article/10.3934/math.2025040},
doi = {10.3934/math.2025040},
abstract = {In this paper, we investigate the existence of a random uniform exponential attractor for the non-autonomous stochastic Boussinesq lattice equation with multiplicative white noise and quasi-periodic forces. We first show the existence and uniqueness of the solution of the considered Boussinesq system. Then, we consider the existence of a uniform absorbing random set for a jointly continuous non-autonomous random dynamical system (NRDS) generated by the system, and make an estimate on the tail of solutions. Third, we verify the Lipschitz continuity of the skew-product cocycle defined on the phase space and the symbol space. Finally, we prove the boundedness of the expectation of some random variables and obtain the existence of a random uniform exponential attractor for the considered system.}
}