4 citations · 7 across the 6 of their papers we have counts for
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Long time smooth solutions of 3D cubic quasilinear wave systems with small weakly decaying initial data
Mu Gao, Jun Li, Huicheng Yin
For the 3D cubic quasilinear wave system $\square_{c_i} u^i=G^i(u,\partial u,\partial^2u)=\displaystyle\sum_{\substack{0\le|α|,|β|,|γ|\le1 \\ 1\le j,k,l \le m}}g_{αβγ}^{ijkl}\parti…
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)…
Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space
Jun Li, Fei Tao, Huicheng Yin
In the paper, for the 3D quasilinear Klein-Gordon equation with the small initial data posed on the product space , we focus on the lower bound of…
Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions
Jun Li, Huicheng Yin
The paper is devoted to investigating long time behavior of smooth small data solutions to 3-D quasilinear wave equations outside of compact convex obstacles with Neumann boundary…
Global multidimensional shock waves for 2-D and 3-D unsteady potential flow equations
Jun Li, Ingo Witt, Huicheng Yin
Although local existence of multidimensional shock waves has been established in some fundamental references, there are few results on the global existence of those waves except th…
On the blowup and lifespan of smooth solutions to a class of 2-D nonlinear wave equations with small initial data
Jun Li, Ingo Witt, Huicheng Yin
We are concerned with a class of two-dimensional nonlinear wave equations $\p_t^2u-÷(c^2(u)\na u)=0$ or $\p_t^2u-c(u)÷(c(u)\na u)=0$ with small initial data $(u(0,x),\p_tu(0,x))=(\…