Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique. The main novelty is the global in time aspect of this solution. The proofs use the coup...

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Bibliographic Details
Published inDemonstratio mathematica Vol. 57; no. 1; pp. 1 - 16
Main Author Almutairi, Shahah
Format Journal Article
LanguageEnglish
Published De Gruyter 07.08.2024
Subjects
35A01
35A02
35B10
35B45
existence
global in time weak solution
regularization
three-dimensional Boussinesq system
uniqueness
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Summary:Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique. The main novelty is the global in time aspect of this solution. The proofs use the coupling between the temperature and the velocity of the fluid, energy methods, and compactness argument.
ISSN:2391-4661
2391-4661
DOI:10.1515/dema-2024-0002