(1) Department of Mathematics, Graduate School of Economics, Hitotsubashi University, 186-8601 Kunitachi, Tokyo, Japan;(2) Department of Mathematics, Tokyo University of Science, 278-8510 Noda, Chiba, Japan
Abstract:
We deal with the exact solutions of the Navier-Stokes equations for stagnation flows with slips. The problem becomes the solvability of certainthird-order ordinary differential equations (ODEs). Reducing the order of ODEs,we exhibit another elementary proof of the existence and asymptotic behavior ofsolutions. Numerical investigations are also provided.Received: 14 August 2003