@article{Zhang2023, 
author = {Wei Zhang},
title = {A priori estimates for the free boundary problem of incompressible inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6074-6094},
keywords = {free boundary problem, incompressible flows, Boussinesq, a priori estimates, MHD-Boussinesq},
url = {https://www.sciopen.com/article/10.3934/math.2023307},
doi = {10.3934/math.2023307},
abstract = {For all physical spatial dimensions    n  =  2 and    3, we establish a priori estimates of Sobolev norms for free boundary problem of inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion under the Taylor-type sign condition on the initial free boundary. It is different from MHD equations because the energy of the system is not conserved.}
}