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