2 citations · 3 across the 6 of their papers we have counts for
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Shock formation for the 2D rotating shallow water equations with non-zero vorticity
Zhendong Chen, Chunjing Xie
In the paper, the shock formation for the two-dimensional rotating shallow water system is established. We construct a large class of initial data which leads to the finite-time bl…
Shifted shock formation for the 3D compressible Euler equations with damping and variation of the vorticity
Zhendong Chen
In this paper, we consider the shock formation problem for the 3-dimensional(3D) compressible Euler equations with damping inspired by the work \cite{BSV3Dfulleuler}. It will be sh…
Formation of shifted shock for the 3D compressible Euler equations with time-dependent damping
Zhendong Chen
In this paper, we show the shock formation to the compressible Euler equations with time-dependent damping $\frac{a\p u}{(1+t)^{\lam}}$ in three spatial dimensions without any symm…
Formation of shifted shock for the 3D compressible Euler equations with damping
Zhendong Chen
In this paper, we show the shock formation of the solutions to the 3-dimensional (3D) compressible isentropic and irrotational Euler equations with damping for the initial short pu…