Publication: Existence of solutions and iterative approximations for nonlinear systems arising in free convection
Existence of solutions and iterative approximations for nonlinear systems arising in free convection
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Brighi, B., & Guesmia, S. (2009). Existence of solutions and iterative approximations for nonlinear systems arising in free convection. Analysis and Applications, 7(3), 225–241. https://doi.org/10.1142/S0219530509001360
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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.
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Brighi, B., & Guesmia, S. (2009). Existence of solutions and iterative approximations for nonlinear systems arising in free convection. Analysis and Applications, 7(3), 225–241. https://doi.org/10.1142/S0219530509001360
