5 citations · 12 across the 11 of their papers we have counts for
13 papers
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)|_{…
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…
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…
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…
Global smooth solutions to 2D semilinear wave equations with large data
Bingbing Ding, Shijie Dong, Gang Xu
We are interested in coupled semi-linear wave equations satisfying the null condition in two space dimensions, a basic model in nonlinear wave equations. Our aim is to establish gl…
Global smooth solutions to 4D quasilinear wave equations with short pulse initial data
Bingbing Ding, Zhouping Xin, Huicheng Yin
In this paper, we establish the global existence of smooth solutions to general 4D quasilinear wave equations satisfying the first null condition with the short pulse initial data.…