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math.AP2026
Shock formation for 3D steady supersonic flows with general short pulse data
Bingbing Ding, Zhouping Xin, Huicheng Yin
This paper concerns the shock formation problem for the 3D steady supersonic potential equation of polytropic gases. The potential equation is described by a second order quasiline…
math.AP2024
Global smooth solutions of 2D quasilinear wave equations with higher order null conditions and short pulse initial data
Bingbing Ding, Zhouping Xin, Huicheng Yin
For the short pulse initial data with a first order outgoing constraint condition and optimal orders of smallness, we establish the global existence of smooth solutions to 2D quasi…