2 citations · 2 across the 5 of their papers we have counts for
Showing 2023 · math.APShow all
2 papers · 2 filters
math.AP2023
A new type of stable shock formation in gas dynamics
Isaac Neal, Calum Rickard, Steve Shkoller +1
From an open set of initial data, we construct a family of classical solutions to the 1D nonisentropic compressible Euler equations which form cusps as a first singularit…
math.AP2023★ 2 cited
A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy
Isaac Neal, Steve Shkoller, Vlad Vicol
We provide a detailed analysis of the shock formation process for the non-isentropic 2d Euler equations in azimuthal symmetry. We prove that from an open set of smooth and generic…