Dimension Reduction for the Full Navier–Stokes–Fourier system

Jan Březina, Ondřej Kreml, Václav Mácha

研究成果: ジャーナルへの寄稿記事

4 引用 (Scopus)

抄録

It is well known that the full Navier–Stokes–Fourier system does not possess a strong solution in three dimensions which causes problems in applications. However, when modeling the flow of a fluid in a thin long pipe, the influence of the cross section can be neglected and the flow is basically one-dimensional. This allows us to deal with strong solutions which are more convenient for numerical computations. The goal of this paper is to provide a rigorous justification of this approach. Namely, we prove that any suitable weak solution to the three-dimensional NSF system tends to a strong solution to the one-dimensional system as the thickness of the pipe tends to zero.

元の言語英語
ページ(範囲)659-683
ページ数25
ジャーナルJournal of Mathematical Fluid Mechanics
19
発行部数4
DOI
出版物ステータス出版済み - 12 1 2017

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Dimension Reduction
Strong Solution
Suitable Weak Solutions
Tend
Pipe
One-dimensional System
Justification
Numerical Computation
Three-dimension
Cross section
Fluid
Three-dimensional
Zero
Modeling
Fluids
causes
fluids
cross sections

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics

これを引用

Dimension Reduction for the Full Navier–Stokes–Fourier system. / Březina, Jan; Kreml, Ondřej; Mácha, Václav.

:: Journal of Mathematical Fluid Mechanics, 巻 19, 番号 4, 01.12.2017, p. 659-683.

研究成果: ジャーナルへの寄稿記事

Březina, Jan ; Kreml, Ondřej ; Mácha, Václav. / Dimension Reduction for the Full Navier–Stokes–Fourier system. :: Journal of Mathematical Fluid Mechanics. 2017 ; 巻 19, 番号 4. pp. 659-683.
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