Concerning Time-periodic Solutions of the Navier-Stokes Equations in Cylindrical Domains Under Navier Boundary Conditions
Year: 2006
Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 4 : pp. 369–376
Abstract
The problem of the existence of time-periodic flows in infinite cylindrical pipes in correspondence to any given, time-periodic, total flux, was solved only quite recently in [1]. In this last reference we solved the above problem for flows under the non-slip boundary condition as a corollary of a more general result. Here we want to show that the abstract theorem proved in [1] applies as well to the solutions of the well known slip (or Navier) boundary condition (1.7) or to the mixed boundary condition (1.14). Actually, the argument applies for solutions of many other boundary value problems. This paper is a continuation of reference [1], to which the reader is referred for some notation and results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-JPDE-5339
Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 4 : pp. 369–376
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Flows in pipes