On heat convection equations in a half space with non-decaying data and Stokes semi-group on Besov spaces based on L∞

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

Taniuchi, Yasushi

关键词: Stokes semi-group;    Viscous incompressible fluid;    Heat convection;    Boussinesq equations;    Non-decaying data;    Besov space of negative order;   

DOI  :  10.1016/j.jde.2009.01.011

来源: Elsevier

【 摘 要 】

The local existence theorem for the Boussinesq equations in the half space R-+(n+1) = {x = ((x) over bar, x(n)) is an element of Rn+1; (x) over tilde is an element of R-n, x(n+1) > 0} with nondecaying data is shown. To this end, the Stokes operator is shown to generate an analytic semi-group on the Besov spaces of negative order based on L-infinity. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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