Geodesic
Asymptotic behavior of a steady flow in a two-dimensional pipe
Piotr Bogusław Mucha1
1Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
Studia Mathematica, Tome 158 (2003) no. 1, pp. 39-58
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The paper investigates the asymptotic behavior of a steady flow of an incompressible viscous fluid in a two-dimensional infinite pipe with slip boundary conditions and large flux. The convergence of the solutions to data at infinities is examined. The technique enables computing optimal factors of exponential decay at the outlet and inlet of the pipe which are unsymmetric for nonzero fluxes of the flow. As a corollary, the asymptotic structure of the solutions is obtained. The results show strong dependence on the magnitude of the Reynolds number.
DOI : 10.4064/sm158-1-4
Keywords: paper investigates asymptotic behavior steady flow incompressible viscous fluid two dimensional infinite pipe slip boundary conditions large flux convergence solutions infinities examined technique enables computing optimal factors exponential decay outlet inlet pipe which unsymmetric nonzero fluxes flow corollary asymptotic structure solutions obtained results strong dependence magnitude reynolds number

Piotr Bogusław Mucha  1

1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Piotr Bogusław Mucha. Asymptotic behavior of a steady flow
 in a two-dimensional pipe. Studia Mathematica, Tome 158 (2003) no. 1, pp. 39-58. doi: 10.4064/sm158-1-4

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