C. Bernardi et al., COUPLING OF NAVIER-STOKES EQUATIONS AND H EAT - THE MODEL AND ITS APPROXIMATION USING THE FINITE-ELEMENT METHOD, Modelisation mathematique et analyse numerique, 29(7), 1995, pp. 871-921
This paper deals with a problem for viscous incompressible flows, wher
e the Navier-Stokes equations are coupled with the heat equation. Exis
tence and focal uniqueness results are established. Next, a finite ele
ment approximation of the problem is presented and thoroughly analysed
.