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.
|ジャーナル||Tokyo Journal of Mathematics|
|出版ステータス||Published - 1992|
ASJC Scopus subject areas
- 数学 (全般)