Open AccessDynamics for the 3D incompressible Navier-Stokes equations with double time delays and damping
Author(s) -
Wei Shi,
Xiaona Cui,
LI Xue-zhi,
XinGuang Yang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021284
Subject(s) - pullback attractor , compressibility , attractor , term (time) , pullback , navier–stokes equations , nonlinear system , dynamics (music) , physics , mathematics , mathematical analysis , classical mechanics , mechanics , quantum mechanics , acoustics
This paper is concerned with the tempered pullback attractors for 3D incompressible Navier-Stokes model with a double time-delays and a damping term. The delays are in the convective term and external force, which originate from the control in engineer and application. Based on the existence of weak and strong solutions for three dimensional hydrodynamical model with subcritical nonlinearity, we proved the existence of minimal family for pullback attractors with respect to tempered universes for the non-autonomous dynamical systems.