An inverse problem for compressible Euler's equations
Analysis of PDEs
2026-04-17 v1
Abstract
We consider an inverse problem for the compressible Euler's equations in polytropic fluid. We show that by taking active measurements near a particle trajectory one can determine the background flow in a set where pressure waves can propagate from and return to the particle trajectory, under the additional assumption that the flow has nonzero vorticity.
Cite
@article{arxiv.2604.14636,
title = {An inverse problem for compressible Euler's equations},
author = {Gunther Uhlmann and Yuchao Yi and Jian Zhai},
journal= {arXiv preprint arXiv:2604.14636},
year = {2026}
}
Comments
39 pages, 2 figures and a supplementary video