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- Title
Regularity and Convergence Results of the Velocity-Vorticity-Voigt Model of the 3D Boussinesq Equations.
- Authors
Pei, Yuan
- Abstract
We prove in this article for the first time for a multi-physical system: the 3D Boussinesq equations, the global well-posedness of the Voigt-regularized velocity-vorticity formulation model (VVVB), which attracts great interest from the numerical and computational study in fluid dynamics. We also obtain the higher-order regularity of the solution to the VVVB equations without regularizing the thermal fluctuation. Furthermore, we show that the velocity and vorticity of the VVVB equations converge to their counterparts of the 3D Boussinesq equations (BE), as the Voigt regularizing parameter approaches 0. Finally, we show the convergence of the curl of the velocity to the vorticity in the VVVB equations as the aforementioned parameter tends to 0.
- Publication
Acta Applicandae Mathematicae, 2021, Vol 176, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-021-00453-y