EventsThe 1st International Online Conference on Mathematics and Applications
Event submissions
Published
with-doi10.3390/IOCMA2023-14379 (registering DOI)
This submission belongs to the session S5. Mathematical Physics of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarManuel De Leon
Citation
Oussama Melkemi, GLOBAL WELL-POSEDNESS FOR 3D-AXISYMMETRIC ANISOTROPIC BOUSSINESQ SYSTEM WITH STRATIFICATION EFFECTS., in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14379
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GLOBAL WELL-POSEDNESS FOR 3D-AXISYMMETRIC ANISOTROPIC BOUSSINESQ SYSTEM WITH STRATIFICATION EFFECTS.

Oussama Melkemi 1
1. Department of Mathematics, University of Batna 2
Abstract

In this work, we study the Cauchy problem of the 3d-Anisotropic Boussinesq system with Horizontal dissipation and stratification effect for axisymmetric data. This system couples the Navier-stokes equation with a non-homogenous transport-diffusion equation. More precisely, we prove that this kind of system admits a unique global solution belongs to the Anisotropic Sobolev spaces.

Keywords
Global well-posedness
Anisotropic Sobolev spaces
Global regularity
Manuscript
MDPI-Conference-Melkemi.pdf
Poster
MDPI-Presentation-Melkemi.pdf
MDPI-Presentation-Melkemi.pdf
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