EXISTENCE OF SOLUTIONS AND ITERATIVE APPROXIMATIONS FOR NONLINEAR SYSTEMS ARISING IN FREE CONVECTION
Bernard Brighi, Senoussi Guesmia · Analysis and Applications · 2009
We study the existence and the regularity of the solutions of some nonlinear partial differential system arising in the study of free convection in a two-dimensional bounded domain, modeling a porous medium saturated with a fluid. By introducing an iterative method, the closeness of such solutions by solution of linear elliptic problems is given with an exponential rate of convergence.