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

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

16 Scopus citations

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.

Original language	English
Pages (from-to)	609-621
Number of pages	13
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	459
Issue number	2031
DOIs	https://doi.org/10.1098/rspa.2002.1036
State	Published - 8 Mar 2003
Externally published	Yes

Keywords

Boussinesq system
Stationary solutions
Very weak solution

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10.1098/rspa.2002.1036

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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",

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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.
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 459, No. 2031, 08.03.2003, p. 609-621.

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

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

ER -

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

Abstract

Keywords

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