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math.AP2026
Three-dimensional steady transonic shocks for the relativistic Euler equations
Shangkun Weng, Yan Zhou
We investigates the transonic shock problem for steady relativistic Euler equations in hemispherical shells. We show the existence and uniqueness of spherically symmetric transonic…
math.AP2024
Smooth axisymmetric transonic irrotational flows to the steady Euler equations with an external force
Shangkun Weng, Yan Zhou
For a class of external forces, we prove the existence and uniqueness of smooth transonic flows to the one dimensional steady Euler system with an external force, which is subsonic…
math.AP2023
Structural stability of three dimensional transonic shock flows with an external force
Shangkun Weng, Zihao Zhang, Yan Zhou
We establish the existence and uniqueness of the transonic shock solution for steady isentropic Euler system with an external force in a rectangular cylinder under the three-dimens…