@article {62620,
	title = {Remarks on the global well-posedness of the axisymmetric Boussinesq system with rough initial data},
	journal = {arXiv preprint arXiv:2110.14208arXiv preprint arXiv:2110.14208},
	year = {2021},
	month = {2021},
	author = {Hanachi, Adalet and Houamed, Haroune and Zerguine, Mohamed}
}
@article {6867,
	title = {ON THE GLOBAL WELL-POSEDNESS OF THEAXISYMMETRIC VISCOUS BOUSSINESQ SYSTEM INCRITICAL LEBESGUE SPACES},
	journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS},
	volume = {40},
	number = {11},
	year = {2020},
	pages = {6473-6506},
	abstract = {The contribution of this paper will be focused on the global existence and uniqueness topic in three-dimensional case of the axisymmetric viscous Boussinesq system in critical Lebesgue spaces. We aim at deriving analogous results for the classical two-dimensional and three-dimensional axisymmetric Navier-Stokes equations recently obtained in [19, 20]. Roughly speaking, we show essentially that if the initial data (v0; ρ0) is axisymmetricand (!0; ρ0) belongs to the critical space L1({\textohm}) {\texttimes}L1(R3), with !0 is the initialvorticity associated to v0 and {\textohm} = f(r; z) 2 R2 : r \&gt; 0g, then the viscousBoussinesq system has a unique global solution.},
	url = {doi:10.3934/dcds.2020287},
	author = {Hanachi, Adalet and Houamed, Haroune and Zerguine, Mohamed}
}
@article {63018,
	title = {On the global well-posedness of axisymmetric viscous Boussinesq system in critical Lebesgue spaces},
	journal = {arXiv preprint arXiv:2002.12617arXiv preprint arXiv:2002.12617},
	year = {2020},
	month = {2020},
	author = {Hanachi, Adalet and Houamed, Haroune and Zerguine, Mohamed}
}
