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 |
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論文番号 | 103339 |
ジャーナル | Nonlinear Analysis: Real World Applications |
巻 | 61 |
DOI | |
出版ステータス | Published - 2021 10月 |
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