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Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces
- Source :
- Demonstratio Mathematica, Vol 56, Iss 1, Pp 199-220 (2023)
- Publication Year :
- 2023
- Publisher :
- De Gruyter, 2023.
-
Abstract
- In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces. This result reveals that the velocity field plays a dominant role in regularity theory of the Boussinesq equations.
Details
- Language :
- English
- ISSN :
- 23914661
- Volume :
- 56
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Demonstratio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.b38ee19f538d4e0399086bdb30440aaf
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/dema-2022-0221