4 papers · 1 filter
Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations
Juhi Jang, Jiaqi Liu, Nader Masmoudi
We consider the isentropic compressible Euler equations in the half-line which govern the motion of gaseous fluids in contact with stationary vacuum boundary. We construct a large…
Waiting Time Solutions in gas dynamics
Juhi Jang, Jiaqi Liu, Nader Masmoudi
In this article, we construct a continuum family of self-similar waiting time solutions for the one-dimensional compressible Euler equations for the adiabatic exponent $\ga\in(1,3)…
Converging/diverging self-similar shock waves: from collapse to reflection
Juhi Jang, Jiaqi Liu, Matthew Schrecker
We solve the continuation problem for the non-isentropic Euler equations following the collapse of an imploding shock wave. More precisely, we prove that the self-similar Güderley…
On self-similar converging shock waves
Juhi Jang, Jiaqi Liu, Matthew Schrecker
In this paper, we rigorously prove the existence of self-similar converging shock wave solutions for the non-isentropic Euler equations for . These solutions are analyt…