Regularity Criteria of Weak Solutions to the 3D Axisymmetric Incompressible Boussinesq Equations in Lorentz Spaces
ABSTRACT In this paper, we derive the regularity criterion of axisymmetric weak solutions to the 3D incompressible Boussinesq equations in Lorentz spaces. To be more precise, it is shown that a Leray–Hopf weak solution is regular on provided that the norm with is small. Our works extend some previous results on this problem to the Lorentz space with respect to temporal variable.
Authors
- Xiaoyu Xi (ORCID: https://orcid.org/0000-0001-5185-5402)
- Xiang Ji (ORCID: https://orcid.org/0000-0002-2373-9583)
- Shu Wang (ORCID: https://orcid.org/0009-0007-9385-3449)
Institutions
- Beijing University of Technology (CN)
- Guangzhou University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-06-13
- DOI
- https://doi.org/10.1002/mma.11161
- Citations
- 1
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- National Natural Science Foundation of China
- Basic and Applied Basic Research Foundation of Guangdong Province