Analytical study of attractors to a regularized 3D Boussinesq system

Leila Azem; Abir Sboui; Ridha Selmi; Afrah Fahed Abohelal

doi:10.36045/j.bbms.230719

Abstract

The Leray-alpha model to regularize the forced three-dimensional periodic Boussinesq system is shown to have a global in time unique solution and a universal attractor which is connected. Energy method, compactness argument and absorbing balls are used.

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Leila Azem. Abir Sboui. Ridha Selmi. Afrah Fahed Abohelal. "Analytical study of attractors to a regularized 3D Boussinesq system." Bull. Belg. Math. Soc. Simon Stevin 31 (2) 162 - 173, july 2024. https://doi.org/10.36045/j.bbms.230719

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Published: july 2024

First available in Project Euclid: 8 July 2024

Digital Object Identifier: 10.36045/j.bbms.230719

Subjects:

Primary: 35A01 , 35A02 , 35B40 , 35B41

Secondary: 35B10 , 35B30 , 35B45

Keywords: asymptotic behavior , dependence on initial data , global compact connected attractor , global existence , global uniqueness , Three-dimensional regularized periodic Boussinesq system

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