Displaying similar documents to “Asymptotic Expansions of the Pressure and the Free Boundary for Flows through Porous Media.”

Asymptotic behavior of a steady flow in a two-dimensional pipe

Piotr Bogusław Mucha (2003)

Studia Mathematica

Similarity:

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...