60 citations · 197 across the 33 of their papers we have counts for
34 papers
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.…
The partial null conditions and global smooth solutions of the nonlinear wave equations on with
Fei Hou, Fei Tao, Huicheng Yin
In this paper, we investigate the fully nonlinear wave equations on the product space with quadratic nonlinearities and on $\mathbb{R}^2\times\mathbb…
Long time solutions of quasilinear Klein-Gordon equations with small weakly decaying initial data
Fei Hou, Huicheng Yin
It is well known that for the quasilinear Klein-Gordon equation with quadratic nonlinearity and sufficiently decaying small initial data, there exists a global smooth solution if t…
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…
On the blowup mechanism of smooth solutions to 1D quasilinear strictly hyperbolic systems with large initial data
Jun Li, Gang Xu, Huicheng Yin
For the first order 1D quasilinear strictly hyperbolic system with , where is small, $u_0(x)…
On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data
Bingbing Ding, Zhouping Xin, Huicheng Yin
This paper establishes the global existence of smooth solutions to the 2D isentropic and irrotational Euler equations for Chaplygin gases with a general class of short pulse initia…