TY - JOUR
T1 - Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay
AU - Su , Keqin
AU - Yang , Xinguang
JO - Journal of Partial Differential Equations
VL - 1
SP - 25
EP - 46
PY - 2024
DA - 2024/02
SN - 37
DO - http://doi.org/10.4208/jpde.v37.n1.2
UR - https://global-sci.org/intro/article_detail/jpde/22904.html
KW - Navier-Stokes equations, pullback attractors, delay, upper semi-continuity.
AB - <p style="text-align: justify;">This paper is concerned with the pullback dynamics and robustness for
the 2D incompressible Navier-Stokes equations with delay on the convective term in
bounded domain. Under appropriate assumption on the delay term, we establish the
existence of pullback attractors for the fluid flow model, which is dependent on the
past state. Inspired by the idea in Zelati and Gal’s paper (JMFM, 2015), the robustness
of pullback attractors has been proved via upper semi-continuity in last section.</p>