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math.AP2026
Blowup of smooth solutions to 2D quasilinear wave equations with higher-order null conditions and short pulse initial data
Bingbing Ding, Zhouping Xin, Huicheng Yin
This paper investigates the 2D quasilinear wave equation with the short pulse initial data $(ϕ, \partial_tϕ)|_{…
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.AP2026
The sharp lifespan of small data smooth solutions to 2-D quadratic quasilinear wave equations in exterior domains
Bingbing Ding, Fei Hou, Huicheng Yin
In the paper [M. Keel, H. Smith, C.D. Sogge, Almost global existence for quasilinear wave equations in three space dimensions. J. Amer. Math. Soc. 17 (2004), no. 1, 109-153], the a…