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

José Luiz Boldrini; Blanca Climent-Ezquerra; María Drina Rojas-Medar; Marko A. Rojas-Medar

doi:10.1007/s00021-009-0001-6

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

José Luiz Boldrini
, Blanca Climent-Ezquerra
, María Drina Rojas-Medar
, Marko A. Rojas-Medar

Universidade Estadual de Campinas
University of Seville
Universidad de Antofagasta
Universidad del Bío-Bío

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	33-53
Número de páginas	21
Publicación	Journal of Mathematical Fluid Mechanics
Volumen	13
N.º	1
DOI	https://doi.org/10.1007/s00021-009-0001-6
Estado	Publicada - mar. 2011
Publicado de forma externa	Sí

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10.1007/s00021-009-0001-6

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title = "On an iterative method for approximate solutions of a generalized boussinesq model",

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.",

keywords = "Boussinesq equations, Iterative method, Strong solutions",

author = "Boldrini, \{Jos{\'e} Luiz\} and Blanca Climent-Ezquerra and Rojas-Medar, \{Mar{\'i}a Drina\} and Rojas-Medar, \{Marko A.\}",

year = "2011",

month = mar,

doi = "10.1007/s00021-009-0001-6",

language = "English",

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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 -

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

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