13 citations · 16 across the 4 of their papers we have counts for
5 papers
On singularities of Ericksen-Leslie system in dimension three
Tao Huang, Peiyong Wang
In this paper, we consider the initial and boundary value problem of Ericksen-Leslie system modeling nematic liquid crystal flows in dimension three. Two examples of singularity at…
Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one
Huajun Gong, Tao Huang, Changyou Wang
We consider the compressible Ericksen-Leslie system of liquid crystal flows in one dimension. A global weak solution is constructed with initial density and $ρ_0\in L^γ…
Weak compactness of simplified nematic liquid flows in 2D
Hengrong Du, Tao Huang, Changyou Wang
For any bounded, smooth domain , %(or ), we will establish the weak compactness property of solutions to the simplified Ericksen-Leslie system for both uniax…
Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model
Geng Chen, Tao Huang, Weishi Liu
In this paper, we study the Cauchy problem of the Poiseuille flow of full Ericksen-Leslie model for nematic liquid crystals. The model is a coupled system of a parabolic equation f…
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…