Global Solutions to the Non-resistive MHD-Boussinesq system with large initial perturbations

In this paper, we prove the global (-in-time) existence of strong solutions for the non-resistive MHD-Boussinesq system under some class of large initial perturbations. We work in Lagrangian coordinates and employ careful energy estimates to establish the global existence result of unique solutions with the additional assumptions that the initial data enjoy the frozen condition and the odevity conditions. Our new result generalizes the known small perturbations theory [7].