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math.AP2024
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…
math.AP2014
Global smooth solutions of 3-D quasilinear wave equations with small initial data
Ding Bingbing, Liu Yingbo, Yin Huicheng
In this paper, we are concerned with the 3-D quasilinear wave equation $ \ds\sum_{i,j=0}^3g^{ij}(u, \p u)\p_{ij}^2u$ with $(u(0,x), \p_tu(0,x))=(\ve u_0(x), \ve u_1(x))$, wher…
math.AP2014
The global smooth symmetric solution to 2-D full compressible Euler system of Chaplygin gases
Ding Bingbing, Witt Ingo, Yin Huicheng
For one dimensional or multidimensional compressible Euler system of polytropic gases, it is well known that the smooth solution will generally develop singularities in finite time…