Periodic solutions in unbounded domains for the Boussinesq system

Elder Jesús Villamizar-Roa; María Ángeles Rodríguez-Bellido; Marko Antonio Rojas-Medar

doi:10.1007/s10114-010-7360-z

Periodic solutions in unbounded domains for the Boussinesq system

Elder Jesús Villamizar-Roa
, María Ángeles Rodríguez-Bellido
, Marko Antonio Rojas-Medar

Universidad Nacional de Colombia
University of Seville
Universidad del Bío-Bío

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

14 Scopus citations

Abstract

Assuming that the external forces of the system are small enough, the reference temperature being a periodic function, we study the existence, the uniqueness and the regularity of time-periodic solutions for the Boussinesq equations in several classes of unbounded domains of Rⁿ. Our analysis is based on the framework of weak-L^p spaces.

Original language	English
Pages (from-to)	837-862
Number of pages	26
Journal	Acta Mathematica Sinica, English Series
Volume	26
Issue number	5
DOIs	https://doi.org/10.1007/s10114-010-7360-z
State	Published - 2010
Externally published	Yes

Keywords

Boussinesq equations
Strong periodic solutions
Unbounded domains

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10.1007/s10114-010-7360-z

Cite this

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abstract = "Assuming that the external forces of the system are small enough, the reference temperature being a periodic function, we study the existence, the uniqueness and the regularity of time-periodic solutions for the Boussinesq equations in several classes of unbounded domains of Rn. Our analysis is based on the framework of weak-Lp spaces.",

keywords = "Boussinesq equations, Strong periodic solutions, Unbounded domains",

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AU - Villamizar-Roa, Elder Jesús

AU - Rodríguez-Bellido, María Ángeles

AU - Rojas-Medar, Marko Antonio

PY - 2010

Y1 - 2010

N2 - Assuming that the external forces of the system are small enough, the reference temperature being a periodic function, we study the existence, the uniqueness and the regularity of time-periodic solutions for the Boussinesq equations in several classes of unbounded domains of Rn. Our analysis is based on the framework of weak-Lp spaces.

AB - Assuming that the external forces of the system are small enough, the reference temperature being a periodic function, we study the existence, the uniqueness and the regularity of time-periodic solutions for the Boussinesq equations in several classes of unbounded domains of Rn. Our analysis is based on the framework of weak-Lp spaces.

KW - Boussinesq equations

KW - Strong periodic solutions

KW - Unbounded domains

UR - https://www.scopus.com/pages/publications/77952279128

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M3 - Article

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 5

ER -

Periodic solutions in unbounded domains for the Boussinesq system

Abstract

Keywords

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