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

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)653-669
Number of pages17
JournalTransactions of the American Mathematical Society
Volume361
Issue number2
DOIs
Publication statusPublished - 2009 Feb
Externally publishedYes

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Stokes Flow
Strong Solution
Navier-Stokes
Mild Solution
Rotating

Keywords

  • Navier-stokes equations
  • Rotating obstacles
  • Strong L-solutions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Strong LP-solutions to the Navier-Stokes flow past moving obstacles : The case of several obstacles and time dependent velocity. / Dintelmann, Eva; Geissert, Matthias; Hieber, Matthias Georg.

In: Transactions of the American Mathematical Society, Vol. 361, No. 2, 02.2009, p. 653-669.

Research output: Contribution to journalArticle

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