Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term (Q6076984)

In this paper, the authors consider compressible viscous and heat conduction of fluids in a certain physical model. The governing equations of such a physical phenomena are obtained under reasonable conditions. Such a work seems to be the first one addressing singular limits subject to inhomogeneous Dirichlet boundary conditions imposed on the temperature. Asymptoticly, the obtained limit can be identified as the Oberbeck-Boussinesq system.