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

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	33-53
Number of pages	21
Journal	Journal of Mathematical Fluid Mechanics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/s00021-009-0001-6
State	Published - Mar 2011
Externally published	Yes

Keywords

Boussinesq equations
Iterative method
Strong solutions

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10.1007/s00021-009-0001-6

Cite this

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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",

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year = "2011",

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

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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

Abstract

Keywords

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