TY - JOUR
T1 - Dynamics for the Stochastic Plate Equations of Kirchhoff Type on $\mathbb{R}^n$
AU - Yao , Xiaobin
AU - Yue , Chan
JO - Journal of Partial Differential Equations
VL - 2
SP - 185
EP - 207
PY - 2025
DA - 2025/06
SN - 38
DO - http://doi.org/10.4208/jpde.v38.n2.5
UR - https://global-sci.org/intro/article_detail/jpde/24216.html
KW - Pullback attractors, kirchhoff type, plate equation, unbounded domains, the splitting technique.
AB - <p style="text-align: justify;">In this paper, we study mainly the long-time behavior of the stochastic plate
equations of kirchhoff type with nonlinear damping on unbounded domains. Due
to the lack of compactness of Sobolev embeddings on unbounded domains, pullback
asymptotic compactness of cocycle associated with the system is proved by the tail-estimates method and splitting technique.</p>