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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…
math.AP2023
Shock interaction in sphere symmetry
Yuxuan Wang
We investigate the interaction of two oncoming shock waves in spherical symmetry for an ideal barotropic fluid. Our research problem is how to establish a local in time solution af…