2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2023★ 2 cited
The Nonlinear Theory of Sound
Blake Temple, Robin Young
We prove the existence of ``pure tone'' nonlinear sound waves of all frequencies. These are smooth, space and time periodic, oscillatory solutions of the compressible Eu…
math.AP2012
Shock formation in the compressible Euler equations and related systems
Geng Chen, Robin Young, Qingtian Zhang
We prove shock formation results for the compressible Euler equations and related systems of conservation laws in one space dimension, or three dimensions with spherical symmetry.…
math.AP2012★ 1 cited
Shock-free Solutions of the Compressible Euler Equations
Geng Chen, Robin Young
We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the Rarefactive/Compressive character of solu…