TY - JOUR
T1 - Dynamics of Stochastic Ginzburg-Landau Equations Driven by Colored Noise on Thin Domains
AU - Lu , Hong
AU - Zhang , Mingji
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 288
EP - 310
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.288
UR - https://global-sci.org/intro/article_detail/jnma/21926.html
KW - Stochastic Ginzburg-Landau equation, colored noise, thin domain, random attractor, upper semicontinuity.
AB - <p style="text-align: justify;">This work is concerned with the asymptotic behaviors of solutions
to a class of non-autonomous stochastic Ginzburg-Landau equations driven
by colored noise and deterministic non-autonomous terms defined on thin domains. The existence and uniqueness of tempered pullback random attractors
are proved for the stochastic Ginzburg-Landau systems defined on $(n + 1)$-dimensional narrow domain. Furthermore, the upper semicontinuity of these
attractors is established, when a family of $(n + 1)$-dimensional thin domains
collapse onto an $n$-dimensional domain.</p>