54 citations · 116 across the 17 of their papers we have counts for
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math.AP2012
Shock formation in the compressible Euler equations and related systems
Geng Chen, Robin Young, Qingtian Zhang
We prove shock formation results for the compressible Euler equations and related systems of conservation laws in one space dimension, or three dimensions with spherical symmetry.…
math.AP2012★ 5 cited
A blow-up criterion for 3-D compressible visco-elasticity
Yi Du, Chun Liu, QingTian Zhang
In this paper, we shall prove a blow-up criteria in terms of the upper bound of the density, deformation tensor and the gradient of deformation tensor for 3D compressible visco-ela…
math.AP2012
Singularities of solutions to compressible Euler equations with vacuum
Zhen Lei, Yi Du, Qingtian Zhang
Presented are two results on the formation of finite time singularities of solutions to the compressible Euler equations in two and three space dimensions for isentropic, polytropi…