@article{Shi2022, 
author = {Wei Shi and Xinguang Yang and Xingjie Yan},
title = {Determination of the 3D Navier-Stokes equations with damping},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {10},
pages = {3872-3886},
keywords = {determination, Navier-Stokes equation, damping},
url = {https://www.sciopen.com/article/10.3934/era.2022197},
doi = {10.3934/era.2022197},
abstract = {This paper is concerned the determination of trajectories for the three-dimensional Navier-Stokes equations with nonlinear damping subject to periodic boundary condition. By using the energy estimate of Galerkin approximated equation, the finite number of determining modes and asymptotic determined functionals have been shown via the Grashof numbers for the non-autonomous and autonomous damped Navier-Stokes fluid flow respectively.}
}