Open AccessPullback dynamics of a 3D modified Navier-Stokes equations with double delays
Author(s) -
Pan Zhang,
Lan Huang,
Rui Li,
XinGuang Yang
Publication year - 2021
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2021076
Subject(s) - pullback attractor , pullback , monotone polygon , mathematics , banach space , uniqueness , compact space , navier–stokes equations , energy method , mathematical analysis , dynamics (music) , attractor , convergence (economics) , physics , geometry , compressibility , acoustics , economics , thermodynamics , economic growth
This paper is concerned with the tempered pullback dynamics for a 3D modified Navier-Stokes equations with double time-delays, which includes delays on external force and convective terms respectively. Based on the property of monotone operator and some suitable hypotheses on the external forces, the existence and uniqueness of weak solutions can be shown in an appropriate functional Banach space. By using the energy equation technique and weak convergence method to achieve asymptotic compactness for the process, the existence of minimal family of pullback attractors has also been derived.