The enclosure method using a single point on the graph of the response operator for the Stokes system
Analysis of PDEs
2025-08-25 v4
Abstract
An inverse obstacle problem governed by the Stokes system in the time domain is considered. Two types of extraction formulae about the geometry of an unknown obstacle are given by using the most recent version of the time domain enclosure method in a unified style. Each of the formulae employs only a single set of velocity and the Cauchy stress fields over a finite time interval on the surface of the region where a viscous incompressible fluid occupies.
Cite
@article{arxiv.2010.02435,
title = {The enclosure method using a single point on the graph of the response operator for the Stokes system},
author = {Masaru Ikehata},
journal= {arXiv preprint arXiv:2010.02435},
year = {2025}
}
Comments
This is the final version accepted for publication in Hokkaido Math. J