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An inverse problem for compressible Euler's equations

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.14636

Authors: Uhlmann, Gunther, Yi, Yuchao, Zhai, Jian

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China, Science and Technology Commission of Shanghai Municipality

Award: G7742448768

OpenAlex ID: W7154744484

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