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On a non‐stationary fluid flow problem in an infinite periodic pipe
Author(s) -
Chipot M.,
Klovienė N.,
Pileckas K.,
Zube S.
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500304
Subject(s) - mathematics , uniqueness , mathematical analysis , convergence (economics) , flow (mathematics) , flux (metallurgy) , navier–stokes equations , mechanics , geometry , compressibility , physics , materials science , economics , metallurgy , economic growth
We study linearized, non‐stationary Navier–Stokes type equations with the given flux in an infinite pipe periodic of period length L with respect to x n . The existence and uniqueness of the solution is proved. Moreover, the convergence of the solution in a finite pipe of length 2 ℓ L to the L ‐periodic solution as ℓ → + ∞ is investigated.