2 papers
math.AP2026
Inevitable shock formation for 3-D compressible Euler flows
Sergiu Klainerman, Qian Wang, Shiwu Yang +1
We prove that solutions arising from smooth, sufficiently small, compactly supported perturbations of non-vacuum constant states in three-dimensional irrotational compressible flow…
math.AP2025
Constructing characteristic initial data for three dimensional compressible Euler equations
Yuxuan Wang, Sifan Yu, Pin Yu
This paper resolves the characteristic initial data problem for the three-dimensional compressible Euler equations - an open problem analogous to Christodoulou's characteristic ini…