Abstract
<abstract><p>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.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)