Leray's problem for a viscous incompressible micropolar fluid

This work concerns the steady motion of a viscous incompressible micropolar fluid in unbounded domains having cylindrical outlets to infinity. We prove the existence of a solution that approaches prescribed parallel solutions along the outlets of the domain. We also study the uniqueness, the regular...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2005-06, Vol.306 (2), p.692-713
Main Author: Vitoriano e Silva, Fábio
Format: Article
Language:English
Subjects:
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Leray's problem
Mathematical analysis
Mathematics
Micropolar fluid
Navier–Stokes equations
Partial differential equations
Physics
Sciences and techniques of general use
Steady flow
Unbounded channel
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Summary:This work concerns the steady motion of a viscous incompressible micropolar fluid in unbounded domains having cylindrical outlets to infinity. We prove the existence of a solution that approaches prescribed parallel solutions along the outlets of the domain. We also study the uniqueness, the regularity and the asymptotic behavior of the solution.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2004.10.007