Global solutions for the heat convection equations in an exterior domain

Toshiaki Hishida; Yoshio Yamada

doi:10.3836/tjm/1270130257

Global solutions for the heat convection equations in an exterior domain

Toshiaki Hishida, Yoshio Yamada

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

14 Citations (Scopus)

Abstract

A nonstationary problem of convection in the exterior domain to a heated sphere is studied. In the Boussinesq approximation, convection phenomena are governed by the system of the Navier-Stokes and heat equations. We find sufficient conditions on boundary and initial data to ensure the global existence of L^p-solutions for this system.

Original language	English
Pages (from-to)	135-151
Number of pages	17
Journal	Tokyo Journal of Mathematics
Volume	15
Issue number	1
DOIs	https://doi.org/10.3836/tjm/1270130257
Publication status	Published - 1992

ASJC Scopus subject areas

Mathematics(all)

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title = "Global solutions for the heat convection equations in an exterior domain",

abstract = "A nonstationary problem of convection in the exterior domain to a heated sphere is studied. In the Boussinesq approximation, convection phenomena are governed by the system of the Navier-Stokes and heat equations. We find sufficient conditions on boundary and initial data to ensure the global existence of Lp-solutions for this system.",

author = "Toshiaki Hishida and Yoshio Yamada",

year = "1992",

doi = "10.3836/tjm/1270130257",

language = "English",

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journal = "Tokyo Journal of Mathematics",

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AU - Hishida, Toshiaki

AU - Yamada, Yoshio

PY - 1992

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AB - A nonstationary problem of convection in the exterior domain to a heated sphere is studied. In the Boussinesq approximation, convection phenomena are governed by the system of the Navier-Stokes and heat equations. We find sufficient conditions on boundary and initial data to ensure the global existence of Lp-solutions for this system.

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DO - 10.3836/tjm/1270130257

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SP - 135

EP - 151

JO - Tokyo Journal of Mathematics

JF - Tokyo Journal of Mathematics

IS - 1

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Global solutions for the heat convection equations in an exterior domain

Abstract

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