Integrating the probe and singular sources methods :II. The Stokes system

In this paper, an integrated theory of the probe and singular sources methods for an inverse obstacle problem governed by the Stokes system in a bounded domain is developed. The main results consist of: the probe method for the Stokes system; the singular sources method by using the notion of the probe method; the completely integrated version of the probe and singular sources methods. In establishing the singular sources method, a third indicator function which is called the IPS function plays the central role.