On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L-2

da Rocha, MS; Rojas-Medar, MA; Rojas-Medar, MD

Abstract

This paper deals with the existence and uniqueness of a stationary solution to the Boussinesq system with no regular data on the boundary. We introduce very weak solutions, and we prove their existence. Using more hypotheses on the problem data, we prove the continuous dependence and uniqueness for this class of solutions.

Más información

Título según WOS: On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L-2
Título según SCOPUS: On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L2
Título de la Revista: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volumen: 459
Número: 2031
Editorial: ROYAL SOC
Fecha de publicación: 2003
Página de inicio: 609
Página final: 621
Idioma: English
URL: http://rspa.royalsocietypublishing.org/cgi/doi/10.1098/rspa.2002.1036
DOI:

10.1098/rspa.2002.1036

Notas: ISI, SCOPUS