On the time-periodic problem for the Stokes system in domains with cylindrical outlets to infinity

DOI10.1007/s10986-007-0011-0zbMath1187.35177OpenAlexW1991182431MaRDI QIDQ2471669

V. Keblikas

Publication date: 18 February 2008

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-007-0011-0

zbMATH Keywords

weighted function spacesnoncompact domaintime-periodic Poiseuille flowcylindrical outlets to infinitytime-periodic Stokes problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Stokes and related (Oseen, etc.) flows (76D07) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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• Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder
• On the nonstationary linearized Navier-Stokes problem in domains with cylindrical outlets to infinity
• The relation between flow rate and axial pressure gradient for time-periodic Poiseuille flow in a pipe
• On the unsteady Poiseuille flow in a pipe
• Solvability in weighted spaces of the three-dimensional Navier-Stokes problem in domains with cylindrical outlets to infinity
• Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains-Leray's problem for periodic flows

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