Global Solutions for the Heat Convection Equations in an Exterior Domain

HISHIDA, Toshiaki; YAMADA, Yoshio

Tokyo J. of Math., Tome 15 (1992) no. 2, p. 135-151 / Harvested from Project Euclid

Résumé

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.

Publié le : 1992-06-15
Classification:

@article{1270130257,
     author = {HISHIDA, Toshiaki and YAMADA, Yoshio},
     title = {Global Solutions for the Heat Convection Equations in an Exterior Domain},
     journal = {Tokyo J. of Math.},
     volume = {15},
     number = {2},
     year = {1992},
     pages = { 135-151},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270130257}
}

HISHIDA, Toshiaki; YAMADA, Yoshio. Global Solutions for the Heat Convection Equations in an Exterior Domain. Tokyo J. of Math., Tome 15 (1992) no. 2, pp.  135-151. http://gdmltest.u-ga.fr/item/1270130257/