Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field

Abstract

Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field for large discretely self-similar initial data are constructed in this note, extending the construction of Brandolese and Karch (arXiv:2311.01093) on self-similar solutions. It follows the approach of Bradshaw and Tsai (Ann.~Henri Poincaré 2017) and find an explicit a priori bound for the deviation from suitably revised profiles in similarity variables.