SHOCK WAVES WITH IRROTATIONAL RANKINE-HUGONIOT CONDITIONS

Shock wave stability for isentropic irrotational flow is studied for Euler system but with shock front conditions corresponding to the second order nonlinear wave equation. It is shown that the usual Lax' shock condition still guarantees the uniform linear stability and therefore the existence of the shock waves solution.

Automated summary

This study investigates the stability of shock waves for isentropic irrotational flow in the Euler system, but with shock front conditions corresponding to the second-order nonlinear wave equation. It is demonstrated that the usual Lax's shock condition still ensures uniform linear stability and thus the existence of shock wave solutions.