The time periodic problem of the Navier–Stokes equations in a bounded domain with moving boundary

Reinhard Farwig*, Hideo Kozono, Kazuyuki Tsuda, David Wegmann

*この研究の対応する著者

研究成果: Article査読

抄録

The time periodic problem of the Navier–Stokes equations on a non-cylindrical space–time domain is studied. Motivated by a recent result by Saal (2006) on maximal regularity for this kind of system we construct time periodic solutions in Lq-spaces provided the bounded domain moves periodically with small amplitude and the given periodic external force is small. The proof is based on new decay estimates for the solution operator of parabolic evolution equations corresponding to the non-cylindrical space–time domain problem.

本文言語English
論文番号103339
ジャーナルNonlinear Analysis: Real World Applications
61
DOI
出版ステータスPublished - 2021 10

ASJC Scopus subject areas

  • 分析
  • 工学(全般)
  • 経済学、計量経済学および金融学(全般)
  • 計算数学
  • 応用数学

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