Shinsuke Hamada

Highly accurate numerical computation of Serrin's equation
by the double exponential transform

Abstract:  

We consider Serrin's equation which describes a steady motion of 
incompressible viscous fluid caused by an interaction between a 
vortex filament and a planar wall.  It is an ODE with singularity 
at an end point. In this paper  we can numerically solve its 
solutions with high accuracy and compute the critical parameters
for the uniqueness of the solution.