Well-posed problems for the Navier-Stokes equations in the microgravity environment

This article is devoted to a critical and concise analysis of the different types of convection that can arise in the microgravity environment. A significant effort is provided to illustrate their genesis, the governing non-dimensional parameters, the scaling properties as well as some critical requirements that must be taken into account when trying to simulate these convective flows by means of numerical computations. Along these lines, most of the discussion is devoted to introduce and elucidate some aspects, often undervalued and overlooked by researchers, that are of paramount importance for obtaining "well-posed problems" from a theoretical, mathematical and computational point of view as well as for the physical consistency and relevance of the results.