TY - JOUR
T1 - On an iterative method for approximate solutions of a generalized boussinesq model
AU - Boldrini, José Luiz
AU - Climent-Ezquerra, Blanca
AU - Rojas-Medar, María Drina
AU - Rojas-Medar, Marko A.
PY - 2011/3
Y1 - 2011/3
N2 - 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.
AB - 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.
KW - Boussinesq equations
KW - Iterative method
KW - Strong solutions
UR - https://www.scopus.com/pages/publications/84856299760
U2 - 10.1007/s00021-009-0001-6
DO - 10.1007/s00021-009-0001-6
M3 - Article
AN - SCOPUS:84856299760
SN - 1422-6928
VL - 13
SP - 33
EP - 53
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
IS - 1
ER -