@article{Benameur2026, 
author = {Jamel Benameur and Lotfi Jlali},
title = {Study of modified Navier–Stokes equations in Fourier spaces},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {5},
pages = {12762-12779},
keywords = {Navier–Stokes equations, global solution, local solution, Lei–Lin–Gevrey spaces},
url = {https://www.sciopen.com/article/10.3934/math.2026525},
doi = {10.3934/math.2026525},
abstract = {In this paper, we study the modified Navier–Stokes equations with a damping term, assuming that the initial data        u    0   satisfies                      u        0            ^        ∈      L    1    (            R        3    ). We establish the existence and uniqueness of a local solution, together with a blow-up criterion in the case where the maximal time of existence is finite. The analysis relies on standard techniques from Fourier analysis.}
}