Japanese journal of mathematics. New series
Online ISSN : 1861-3624
Print ISSN : 0289-2316
Uniform estimates in the velocity at infinity for stationary solutions to the Navier-Stokes exterior problem
Yoshihiro SHIBATAMasao YAMAZAKI
著者情報
ジャーナル フリー

2005 年 31 巻 2 号 p. 225-279

詳細
抄録
This paper is concerned with the stationary Navier-Stokes equations in exterior domains of dimension n≥3, and provides a sufficient condition on the external force for the unique solvability. This condition is valid both in the case with small but nonzero velocity at infinity, and in the case with zero velocity at infinity. As a result it is proved that, if the external force satisfies this condition, the solution with nonzero velocity at infinity converges to the solution with zero velocity at infinity with respect to the weak-* topology of appropriate function spaces.
著者関連情報
© The Mathematical Society of Japan
前の記事 次の記事
feedback
Top