@article{Ma2026, 
author = {Dandan Ma and Maria Alessandra Ragusa and Fan Wu},
title = {On strong solutions of Navier-Stokes equations with two velocity components},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {4},
pages = {9334-9346},
keywords = {Navier-Stokes equations, extension criteria, two velocity components},
url = {https://www.sciopen.com/article/10.3934/math.2026386},
doi = {10.3934/math.2026386},
abstract = {In this paper, we established a continuation criterion for local strong solutions to the three-dimensional incompressible Navier-Stokes equations based on partial velocity components. More precisely, we showed that a unique local strong solution    u does not blow up at time    T provided that the two horizontal velocity components        u    h   belong to the Banach spaces                      V        ˙                    p      ,      q      ,      θ        s   and                      U        ˙                    p      ,      β      ,      σ        s  . These functional spaces strictly contained the homogeneous Besov space                      B        ˙                    p      ,      q        s  , and thus allowed a wider admissible class than those considered in earlier works. Our results can therefore be viewed as an extension and refinement of previously known criteria.}
}