ABSTRACT
We determine regularity criteria for weak solutions of a bioconvective flow in a bounded three-dimensional domain. We show that the weak solution is strong on [0, T] if either
or
is bounded from above by a specific constant, where
and
. No additional condition for
is required.
Acknowledgements
This work was finished during the research stay of the third author at the Department of Mathematics, partially funded by the Colóquio de Matemática(CR4430), of the University of Antofagasta.
Notes
No potential conflict of interest was reported by the authors.