Three dimensional spherical transonic shock in a hemispherical shell

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1Transonic shocks for three-dimensional axisymmetric Euler flows with an external force in a perturbed cylinder2026
2. 2Existence of transonic shocks in a cylindrical nozzle with given exit normal momentums2024
3. 3Structural stability of transonic shock flows with an external force2024 · 3 citations
4. 4The stability of simple plane-symmetric shock formation for three-dimensional compressible Euler flow with vorticity and entropy2024 · 12 citations
5. 5Transonic shock solutions for steady 3-D axisymmetric full Euler flows with large swirl velocity in a finite cylindrical nozzle2024