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

Michel Marie Chipot, Neringa Klovienė, Konstantin I Pileckas, Stephanie Zube · Mathematische Nachrichten · 2016

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

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