Numerical Solutions of Serrin’s Equations by Double Exponential Transformation

  • Shinsuke Hamada

    Kyoto University, Japan

Abstract

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. 795–817

DOI 10.2977/PRIMS/1201012042