Strong LP-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time dependent velocity

Eva Dintelmann*, Matthias Geissert, Matthias Georg Hieber

*この研究の対応する著者

研究成果: Article査読

10 被引用数 (Scopus)

抄録

Consider the Navier-Stokes flow past several moving or rotating obstacles with possible time-dependent velocity. It is shown that under suitable assumptions on the data, there exists a unique, local strong solution in the LP - Lq-setting for suitable p, q ∈ (1,∞). Moreover, it is proved that this strong solution coincides with the known mild solution in the very weak sense.

本文言語English
ページ(範囲)653-669
ページ数17
ジャーナルTransactions of the American Mathematical Society
361
2
DOI
出版ステータスPublished - 2009 2
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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