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math.AP2012
The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals
Yi Du, Geng Chen, Jianli Liu
In this paper we obtain the wave equation modeling the nematic liquid-crystals in three space dimensions and study the lifespan of classical solution to Cauchy problem. The almost…
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…