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arXiv · 2604.14636

An inverse problem for compressible Euler's equations

Gunther Uhlmann·Yuchao Yi·Jian Zhai
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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.

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Gunther Uhlmann, Yuchao Yi, Jian Zhai. 2026-04-16. An inverse problem for compressible Euler's equations. https://arxiv.org/abs/2604.14636

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