@article{Omrane2023, 
author = {Ines Ben Omrane and Mourad Ben Slimane and Sadek Gala and Maria Alessandra Ragusa},
title = {Regularity results for solutions of micropolar fluid equations in terms of the pressure},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {21208-21220},
keywords = {micropolar fluid flow, weak solution, regularity criterion, weak Lebesgue spaces},
url = {https://www.sciopen.com/article/10.3934/math.20231081},
doi = {10.3934/math.20231081},
abstract = {This paper is devoted to investigating regularity criteria for the 3D micropolar fluid equations in terms of pressure in weak Lebesgue space. More precisely, we prove that the weak solution is regular on    (  0  ,  T  ] provided that either the norm              ‖      π      ‖                      L                  α          ,          ∞                    (      0      ,      T      ;              L                  β          ,          ∞                    (                        R                          3                    )      )       with        2    α    +      3    β    =  2 and        3    2    <  β  <  ∞ or              ‖              ∇        π            ‖                      L                  α          ,          ∞                    (      0      ,      T      ;              L                  β          ,          ∞                    (                        R                          3                    )      )       with        2    α    +      3    β    =  3 and    1  <  β  <  ∞ is sufficiently small.}
}