@Article{JNMA-7-1037,
author = {Cai , Yiting},
title = {Decay of Solutions to the Three-Dimensional Generalized Navier-Stokes Equation with Nonlinear Damping Term},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {3},
pages = {1037--1053},
abstract = {<p style="text-align: justify;">In this paper, we consider the three-dimensional generalized Navier-Stokes equation with a nonlinear damping term $|u|^{β−1} (β ≥ 1).$ Firstly, utilizing the Fourier splitting method, we derive decay estimates for weak solutions
to the equations when $α = 0$ and $β = 1,$ as well as when $0 &lt; α &lt;\frac{3}{4}$ for any $β = 2.$ Secondly, for $0 &lt; α &lt; \frac{5}{4}$ and any $β &gt; {\rm max}\{ \frac{4α}{3}+1, 2\},$ we obtain the
same result.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.1037},
url = {http://global-sci.org/intro/article_detail/jnma/24114.html}
}