111 citations · 282 across the 20 of their papers we have counts for
21 papers
Partial regularity of heat flow of fractional harmonic maps to spheres
Hengrong Du, Tao Huang, Armin Schikorra +1
In this paper, we introduce the notation of stationary heat flow of -harmonic maps from into the unit sphere , for $0<…
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…
Long-time dynamics of Ericksen-Leslie system on
Tao Huang, Chengyuan Qu
In this paper, we study the long-time behavior of full Ericksen-Leslie system modeling the hydrodynamics of nematic liquid crystals between two dimensional unit spheres. Under a we…
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…
Nonuniqueness of nematic liquid crystal flows in dimension three
Huajun Gong, Tao Huang, Jinkai Li
For suitable initial and boundary data, we construct infinitely many weak solutions to the nematic liquid crystal flows in dimension three. These solutions are in the axisymmetric…
Boundary bubbling analysis of approximate harmonic maps under either weak or strong anchoring conditions in dimension two
Tao Huang, Changyou Wang
In this paper, we will study the bubbling phenomena of approximate harmonic maps in dimension two that have either (i) bounded -tension fields under the weak anchoring conditi…
Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary
Tao Huang, Lei Liu, Yong Luo +1
Let be a four dimensional compact Riemannian manifold with boundary and be a compact Riemannian manifold without boundary. We show the existence of a unique, global…
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…
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…
Representation of Dissipative Solutions to a Nonlinear Variational Wave Equation
Alberto Bressan, Tao Huang
The paper introduces a new way to construct dissipative solutions to a second order variational wave equation. By a variable transformation, from the nonlinear PDE one obtains a se…
Regularity and uniqueness for a class of solutions to the hydrodynamic flow of nematic liquid crystals
Tao Huang
In this paper, we establish an -regularity criterion for any weak solution to the nematic liquid crystal flow (1.1) such that for some $p\ge…
Finite time singularities for hyperbolic systems
Geng Chen, Tao Huang, Chun Liu
In this paper, we study the formation of finite time singularities in the form of super norm blowup for a spatially inhomogeneous hyperbolic system. The system is related to the va…
Regularity and uniqueness of the heat flow of biharmonic maps
Jay Hineman, Tao Huang, Changyou Wang
In this paper, we first establish regularity of the heat flow of biharmonic maps into the unit sphere under a smallness condition of renormalized total…
On uniqueness of heat flow of harmonic maps
Tao Huang, Changyou Wang
In this paper, we establish the uniqueness of heat flow of harmonic maps into (N, h) that have sufficiently small renormalized energies, provided that N is either a unit sphere $S^…
Blow up criterion for compressible nematic liquid crystal flows in dimension three
Tao Huang, Changyou Wang, Huanyao Wen
In this paper, we consider the short time strong solution to a simplified hydrodynamic flow modeling the compressible, nematic liquid crystal materials in dimension three. We estab…
Strong solutions of the compressible nematic liquid crystal flow
Tao Huang, Changyou Wang, Huanyao Wen
We study strong solutions of the simplified Ericksen-Leslie system modeling compressible nematic liquid crystal flows in a domain . We first prove the local ex…
Blow up criterion for nematic liquid crystal flows
Tao Huang, Changyou Wang
In this paper, we establish a blow up criterion for the short time classical solution of the nematic liquid crystal ow, a simplified version of Ericksen-Leslie system modeling the…
Well-posedness for the heat flow of polyharmonic maps with rough initial data
Tao Huang Changyou Wang
We establish both local and global well-posedness for the heat flow of polyharmonic maps from to a compact Riemannian manifold without boundary for initial data with small BM…