Time-periodic flow of a viscous liquid past a body

Giovanni P. Galdi, Mads Kyed

研究成果: Chapter

4 被引用数 (Scopus)

抄録

We investigate the existence, uniqueness and regularity of time-periodic solutions to the Navier-Stokes equations governing the flow of a viscous liquid past a three-dimensional body moving with a time-periodic translational velocity. The net motion of the body over a full time-period is assumed to be non-zero. In this case, the appropriate linearization is the time-periodic Oseen system in a three-dimensional exterior domain. A priori Lq estimates are established for this linearization. Based on these “maximal regularity” estimates, the existence and uniqueness of smooth solutions to the fully nonlinear Navier-Stokes problem is obtained by the contraction mapping principle.

本文言語English
ホスト出版物のタイトルPartial Differential Equations in Fluid Mechanics
出版社Cambridge University Press
ページ20-49
ページ数30
ISBN(電子版)9781108610575
ISBN(印刷版)9781108460965
DOI
出版ステータスPublished - 2019 1月 1

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「Time-periodic flow of a viscous liquid past a body」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル