Yu-Nan Yi

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20242026

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math.AP2026

Leakage detection, collision relation, and self-adjoint cancellation in multi-velocity systems

Yuchao Yi

Let $W^{T}$ map Dirichlet data $f$ to time $T$ state $u^{f} (T, \cdot)$ , we study the $K$ -normal operator $C_{K}^{T} := (W^{T})^{*} K W^{T}$ where $(W^{T})^{*}$ is the standard $L^{2} (d x)$ adjoint. We pro…

math.AP2026

An inverse problem for compressible Euler's equations

Gunther Uhlmann, Yuchao Yi, Jian Zhai

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 t…