Low Regularity of Self-Similar Solutions of Two-Dimensional Riemann problems with Shocks for the Isentropic Euler system
This paper establishes a general framework demonstrating that self-similar solutions to two-dimensional Riemann problems for the isentropic Euler system with shocks generally exhibit low regularity, specifically that the velocity field fails to belong to and may be discontinuous in the subsonic domain, thereby revealing a significantly more complex structure than solutions for potential flow.