13 citations · 16 across the 5 of their papers we have counts for
6 papers · 1 filter
Singularity formation for full Ericksen-Leslie system of nematic liquid crystal flows in dimension two
Geng Chen, Tao Huang, Xiang Xu
In this paper, we prove the singularity formation for Poiseuille laminar flow of full Ericksen-Leslie system modeling nematic liquid crystal flows in dimension two. The singularity…
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…