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This is a Quantitative Study study.

Subsonic Euler flows with damping in two-dimensional expansion nozzles

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A unique existence of subsonic and supersonic solutions is established for damped radial Euler flow in expanded nozzles.
The structural stability of the background subsonic solution is transformed into a boundary value problem of a nonlinear system.
A Lagrange transformation decouples the system and facilitates linearization to examine stability.
The proof of a unique fixed point confirms the structural stability of the background solution under perturbations.

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This analysis establishes subsonic Euler flow stability in a two-dimensional nozzle, indicating effective management of gas dynamics.

Liao et al. (2025) studied this question.

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