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math.AP2026
The Characteristic Initial Value Problem for the 3D Compressible Euler Equations
Jared Speck, Sifan Yu
We prove local existence and uniqueness, propagation of Sobolev regularity, and continuation criteria results for the characteristic initial value problem for the 3D compressible E…
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…