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math.AP2022★ 20 cited
Delta Shock as Free Piston in Pressureless Euler Flows
Le Gao, Aifang Qu, Hairong Yuan
We establish the equivalence of free piston and delta shock, for the one-space-dimensional pressureless compressible Euler equations. The delta shock appearing in the singular Riem…
math.AP2022★ 12 cited
Radon Measure Solutions to Riemann Problems for Isentropic Compressible Euler Equations of Polytropic Gases
Yunjuan Jin, Aifang Qu, Hairong Yuan
We solve the Riemann problems for isentropic compressible Euler equations of polytropic gases in the class of Radon measures, and the solutions admit the concentration of mass. It…