On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L2

M. Santos Da Rocha; Marko A. Rojas-Medar; M. Drina Rojas-Medar

doi:10.1098/rspa.2002.1036

On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L²

M. Santos Da Rocha
, Marko A. Rojas-Medar
, M. Drina Rojas-Medar

Universidade Estadual de Campinas
Universidad de Antofagasta

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

16 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	609-621
Número de páginas	13
Publicación	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volumen	459
N.º	2031
DOI	https://doi.org/10.1098/rspa.2002.1036
Estado	Publicada - 8 mar 2003
Publicado de forma externa	Sí

Acceder al documento

10.1098/rspa.2002.1036

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{734996b7eeb7430f928a4bd943ad0b08,

title = "On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L2",

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.",

keywords = "Boussinesq system, Stationary solutions, Very weak solution",

author = "\{Da Rocha\}, \{M. Santos\} and Rojas-Medar, \{Marko A.\} and Rojas-Medar, \{M. Drina\}",

year = "2003",

month = mar,

day = "8",

doi = "10.1098/rspa.2002.1036",

language = "English",

volume = "459",

pages = "609--621",

journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences",

issn = "1364-5021",

number = "2031",

}

On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L². / Da Rocha, M. Santos; Rojas-Medar, Marko A.; Rojas-Medar, M. Drina.
En: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 459, N.º 2031, 08.03.2003, p. 609-621.

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

TY - JOUR

T1 - On the existence and uniqueness of the stationary solution to equations of natural convection with boundary data in L2

AU - Da Rocha, M. Santos

AU - Rojas-Medar, Marko A.

AU - Rojas-Medar, M. Drina

PY - 2003/3/8

Y1 - 2003/3/8

N2 - 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.

AB - 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.

KW - Boussinesq system

KW - Stationary solutions

KW - Very weak solution

UR - https://www.scopus.com/pages/publications/1542267445

U2 - 10.1098/rspa.2002.1036

DO - 10.1098/rspa.2002.1036

M3 - Article

AN - SCOPUS:1542267445

SN - 1364-5021

VL - 459

SP - 609

EP - 621

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 - 2031