Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature-Reference-Cited by-同舟云学术

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

Published:2007-06-26 Issue:2085 Volume:463 Page:2153-2164
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Climent-Ezquerra Blanca¹,Guillén-González Francisco¹,Rojas-Medar Marko Antonio²

Affiliation:

1. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de SevillaAptdo. 1160, 41080 Sevilla, Spain

2. Universidad del Bío-Bío Facultad de Ciencias, Departamento de Ciencias BásicasCampus Fernando May, Casilla 447, Chillán, Chile

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 H 3 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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2007.1867

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