Nguyen Anh Dao, Jesus Ildefonso Diaz
Abstract:
We investigate a logarithmically improved regularity criteria in terms of the velocity,
or the vorticity, for the Navier-Stokes equations in homogeneous Besov spaces.
More precisely, we prove that if the weak solution u satisfies either
where w =rot u, then u is regular on (0,T].
Our conclusions improve some results by Fan et al. [5].
Submitted August 3, 2021. Published November 3, 2021.
Math Subject Classifications: 35Q35, 35B65, 76D05.
Key Words: Besov space; Navier-Stokes equations; regularity criteria.
DOI: https://doi.org/10.58997/ejde.2021.89
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Nguyen Anh Dao Institute of Applied Mathematics University of Economics Ho Chi Minh City Ho Chi Minh City, Viet Nam email: anhdn@ueh.edu.vn |
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Jesus Ildefonso Díaz Instituto de Matemática Interdisciplinar Universidad Complutense de Madrid 28040 Madrid, Spain email: jidiaz@ucm.es |
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