We consider Serrin’s equations, which describe a steady ﬂow of the incompressible viscous ﬂuid caused by an interaction between a vortex ﬁlament and a planar wall. They are integro-diﬀerential equations with a singularity at an end point. By means of the double exponential transformation, we numerically solve their solutions with high accuracy, and compute a sufficient condition on the uniqueness of the solution.
Cite this article
Shinsuke Hamada, Numerical Solutions of Serrin’s Equations by Double Exponential Transformation. Publ. Res. Inst. Math. Sci. 43 (2007), no. 3, pp. 795–817DOI 10.2977/PRIMS/1201012042