On a non‐stationary fluid flow problem in an infinite periodic pipe

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 xn. The existence and uniqueness of the solution is proved. Moreover, the convergence of the solution in a finite pipe of length 2ℓL to the L‐periodic...

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Bibliographic Details
Published in:	Mathematische Nachrichten Vol. 290; no. 4; pp. 546 - 569
Main Authors:	Chipot, M., Klovienė, N., Pileckas, K., Zube, S.
Format:	Journal Article
Language:	English
Published:	Weinheim Wiley Subscription Services, Inc 01-03-2017
Subjects:	35A01 35D30 35Q30 76D07 76N10 flux condition infinite domain Linearized non‐stationary Navier–Stokes type system periodic pipe flow
Online Access:	Get full text
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Summary:	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 xn. The existence and uniqueness of the solution is proved. Moreover, the convergence of the solution in a finite pipe of length 2ℓL to the L‐periodic solution as ℓ→+∞ is investigated.
ISSN:	0025-584X 1522-2616
DOI:	10.1002/mana.201500304