TY - JOUR
T1 - Dynamics for Three Dimensional Generalized Navier-Stokes Equations with Delay
AU - Lu , Rui
AU - Guo , Chunxiao
AU - Yang , Xin-Guang
AU - Zhang , Pan
JO - Journal of Partial Differential Equations
VL - 2
SP - 123
EP - 147
PY - 2022
DA - 2022/04
SN - 35
DO - http://doi.org/10.4208/jpde.v35.n2.2
UR - https://global-sci.org/intro/article_detail/jpde/20445.html
KW - Three dimensional generalized Navier-Stokes equations, delay, pullback attractor.
AB - <p style="text-align: justify;">This paper is concerned with the existence of pullback attractors for three dimensional generalized Navier-Stokes equations with delay. According to compact argument, the existence and uniqueness of weak solutions are proved by using Galerkin method, and the continuous dependence of solutions on initial values is also shown. Based on the asymptotic compactness via weak convergence method and pullback absorbing set on appropriate functional phase spaces, we get the existence of pullback attractors.</p>