5 papers
Large time asymptotic behavior of the compressible Navier-Stokes Equations in partial Space-Periodic Domains
Yin Huicheng, Zhang Lin, Zhu Lu
In this paper, we study the large time behavior of the 3-D isentropic compressible Navier-Stokes equation in the partial space-periodic domains, and simultaneously show that the re…
On the existence of low regularity solutions to semilinear generalized Tricomi equations in mixed type domains
Zhuoping Ruan, Ingo Witt, Huicheng Yin
In [19-20], we have established the existence and singularity structures of low regularity solutions to the semilinear generalized Tricomi equations in the degenerate hyperbolic re…
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…
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…
On the instability problem of a 3-D transonic oblique shock wave
Li Liang, Xu Gang, Yin Huicheng
In this paper, we are concerned with the instability problem of a 3-D transonic oblique shock wave for the steady supersonic flow past an infinitely long sharp wedge. The flow is a…