Integrating the Probe and Singular Sources Methods: II. the Stokes System

ABSTRACT 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, and the completely integrated version of the probe and singular sources methods. In establishing the singular sources method, a third indicator function that is called the IPS function plays the central role.