On an iterative method for approximate solutions of a generalized Boussinesq model

An iterative method is proposed for nding 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 th...

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Detalhes bibliográficos
Autores: Boldrini, José Luiz, Climent Ezquerra, María Blanca, Rojas Medar, María Drina, Rojas Medar, Marko Antonio
Tipo de documento: artigo
Data de publicação:2011
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/29566
Acesso em linha:http://hdl.handle.net/11441/29566
https://doi.org/10.1007/s00021-009-0001-6
Access Level:Acceso aberto
Palavra-chave:Boussinesq equations
strong solutions
iterative method
Descrição
Resumo:An iterative method is proposed for nding 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.