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math.AP2015★ 61 cited
Finite time singularity of the nematic liquid crystal flow in dimension three
Tao Huang, Fanghua Lin, Chun Liu +1
In this paper, we consider the initial and boundary value problem of a simplified nematic liquid crystal flow in dimension three and construct two examples of finite time singulari…
math.AP2015★ 13 cited
Structurally Stable Singularities for a Nonlinear Wave Equation
Alberto Bressan, Tao Huang, Fang Yu
For the nonlinear wave equation , it is well known that solutions can develop singularities in finite time. For an open dense set of initial…