Abstract: Firstly, the correlation estimates of temperature and velocity were obtained by using differential inequality technique, especially the fourth-order norm estimates of temperature and the gradient estimates of velocity. Secondly, with the help of a priori bound, the energy expression was constructed and the differential inequality satisfied by the expression was derived. Finally, the continuous dependence of solutions of Brinkman-Darcy fluid equations on the boundary coefficients α was established.

Key words: continuous dependence, Brinkman equations, Darcy equations, boundary coefficient