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math.AP2021
Formation and construction of a multidimensional shock wave for the first order hyperbolic conservation law with smooth initial data
Yin Huicheng, Zhu Lu
In this paper, the problem on formation and construction of a multidimensional shock wave is studied for the first order conservation law $\partial_t u+\partial_x F(u)+\partial_y G…
math.AP2021★ 5 cited
Delayed singularity formation for the three dimensional compressible Euler equations with non-zero vorticity
Fei Hou, Huicheng Yin
For the 3D compressible isentropic Euler equations with an initial perturbation of size $\ve$ of a rest state, if the initial vorticity is of size $\dl$ with $0<\dl\le \ve$ and $\v…
math.AP2021★ 4 cited
Long time existence of smooth solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
Fei Hou, Huicheng Yin
For the 2D compressible isentropic Euler equations of polytropic gases with an initial perturbation of size $\ve$ of a rest state, it has been known that if the initial data are ro…