On uniqueness of mild solutions for Boussinesq equations in Morrey-type spaces (Q2106138)

The aim of the authors is to use duality and block spaces to obtain a new uniqueness class of mild solutions for a system involving incompressible Boussinesq equations in the whole space \(\mathbb{R}^n\). The authors remark that the system describes the movement of an incompressible viscous fluid under the effect of natural convection filling the whole space \(\mathbb{R}^n\), by assuming the well-known Boussinesq approximation. In addition, let us point out that the zero-temperature case of the system becomes the Navier-Stokes equations. Moreover, by relaxing and considering some suitable variations in that approximation, generalizations of the system appear in a natural way.