Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature

Blanca Climent-Ezquerra; Francisco Guillén-González; Marko Antonio Rojas-Medar

doi:10.1098/rspa.2007.1867

Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature

Blanca Climent-Ezquerra
, Francisco Guillén-González
, Marko Antonio Rojas-Medar

University of Seville
Universidad del Bío-Bío

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

13 Scopus citations

Abstract

The aim of this work is to prove the existence of regular time-periodic solutions for a generalized Boussinesq model (with nonlinear diffusion for the equations of velocity and temperature). The main idea is to obtain higher regularity (of H³ type) for temperature than for velocity (of H ² type), using specifically the Neumann boundary condition for temperature. In fact, the case of Dirichlet condition for temperature remains as an open problem.

Original language	English
Pages (from-to)	2153-2164
Number of pages	12
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	463
Issue number	2085
DOIs	https://doi.org/10.1098/rspa.2007.1867
State	Published - 8 Sep 2007
Externally published	Yes

Keywords

Navier-Stokes type equations
Nonlinear diffusion
Regularity
Time-periodic solutions

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10.1098/rspa.2007.1867

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abstract = "The aim of this work is to prove the existence of regular time-periodic solutions for a generalized Boussinesq model (with nonlinear diffusion for the equations of velocity and temperature). The main idea is to obtain higher regularity (of H3 type) for temperature than for velocity (of H 2 type), using specifically the Neumann boundary condition for temperature. In fact, the case of Dirichlet condition for temperature remains as an open problem.",

keywords = "Navier-Stokes type equations, Nonlinear diffusion, Regularity, Time-periodic solutions",

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Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature. / Climent-Ezquerra, Blanca; Guillén-González, Francisco; Rojas-Medar, Marko Antonio.
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 463, No. 2085, 08.09.2007, p. 2153-2164.

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

TY - JOUR

T1 - Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature

AU - Climent-Ezquerra, Blanca

AU - Guillén-González, Francisco

AU - Rojas-Medar, Marko Antonio

PY - 2007/9/8

Y1 - 2007/9/8

N2 - The aim of this work is to prove the existence of regular time-periodic solutions for a generalized Boussinesq model (with nonlinear diffusion for the equations of velocity and temperature). The main idea is to obtain higher regularity (of H3 type) for temperature than for velocity (of H 2 type), using specifically the Neumann boundary condition for temperature. In fact, the case of Dirichlet condition for temperature remains as an open problem.

AB - The aim of this work is to prove the existence of regular time-periodic solutions for a generalized Boussinesq model (with nonlinear diffusion for the equations of velocity and temperature). The main idea is to obtain higher regularity (of H3 type) for temperature than for velocity (of H 2 type), using specifically the Neumann boundary condition for temperature. In fact, the case of Dirichlet condition for temperature remains as an open problem.

KW - Navier-Stokes type equations

KW - Nonlinear diffusion

KW - Regularity

KW - Time-periodic solutions

UR - https://www.scopus.com/pages/publications/36348947547

U2 - 10.1098/rspa.2007.1867

DO - 10.1098/rspa.2007.1867

M3 - Article

AN - SCOPUS:36348947547

SN - 1364-5021

VL - 463

SP - 2153

EP - 2164

JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 2085

ER -

Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature

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Keywords

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