2 papers
math.AP2025
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.…
math.AP2025
Formation and construction of a shock wave for one dimensional strictly hyperbolic conservation laws with small smooth initial data
Min Ding, Huicheng Yin
Under the genuinely nonlinear assumption for 1-D strictly hyperbolic conservation laws, we investigate the geometric blowup of smooth solutions and the development of s…