Abstract
An iterative method is proposed for finding approximate solutions of an initial and boundary value problem for a nonstationary generalized Boussinesq model for thermally driven convection of fluids with temperature dependent viscosity and thermal conductivity. Under certain conditions, it is proved that such approximate solutions converge to a solution of the original problem; moreover, convergence-rate bounds for the constructed approximate solutions are also obtained.
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Communicated by G. P. Galdi.
J.L. Boldrini, B. Climent-Ezquerra, M.A. Rojas-Medar are partially supported by project MTM2006-07932, Spain; M.D. Rojas-Medar is partially supported by Universidad de Antofagasta, Project PEI: 1333 and Fondecyt-Chile, Grant 1080628; J.L. Boldrini is also partially supported by CNPq-Brazil, Grant 307833/2008-9, and M.A. Rojas-Medar is also partially supported by project Fondecyt-Chile, Grant 1080628.
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Boldrini, J.L., Climent-Ezquerra, B., Rojas-Medar, M.D. et al. On an Iterative Method for Approximate Solutions of a Generalized Boussinesq Model. J. Math. Fluid Mech. 13, 33–53 (2011). https://doi.org/10.1007/s00021-009-0001-6
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DOI: https://doi.org/10.1007/s00021-009-0001-6