Huajun Gong

activity

20112020

most citedA priori estimates and Blow-up behavior for solutions of

- Q_{N} u = V e^{u}

in bounded domain in

R^{N}

20 citations · 30 across the 12 of their papers we have counts for

collaborators

12 papers

math.AP2020

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 $ρ_{0} \geq 0$ and $ρ_0\in L^γ…

math.AP2019

Partial regularity of suitable weak solutions of the Navier-Stokes-Planck-Nernst-Poisson equation

Huajun Gong, Changyou Wang, Xiaotao Zhang

In this paper, inspired by the seminal work by Caffarelli-Kohn-Nirenberg \cite{CKN} on the incompressible Navier-Stokes equation, we establish the existence of a suitable weak solu…

math.AP2019★ 1 cited

Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum

Huajun Gong, Jinkai Li, Xian-Gao Liu +1

In this paper, the local well-posedness of strong solutions to the Cauchy problem of the isentropic compressible Navier-Stokes equations is proved with the initial date being allow…

math.AP2017

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…

math.CA2016

Multilinear fractional integral operators on non-homogeneous metric measure spaces

Huajun Gong, Rulong Xie, Chen Xu

Let $(X, d, μ)$ be a non-homogeneous metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions. In this paper, the boundedness of mult…

math.AP2015★ 1 cited

Local well-posedness of strong solutions to density-dependent liquid crystal system

Huajun Gong, Jinkai Li, Chen Xu

In this paper, we study the Cauchy problem to the density-dependent liquid crystal system in $R^{3}$ . We establish the local existence and uniqueness of strong solutions to t…

math.DS2014

Topological pressure dimension for almost additive potentials

Lei Liu, Huajun Gong, Xiaoyao Zhou

This paper is devoted to the study of the topological pressure dimension for almost additive sequences, which is an extension of topological entropy dimension. We investigate funda…

math.AP2014★ 6 cited

Global Strong Solutions to Incompressible Ericksen-Leslie System in $R^{3}$

Wenya Ma, Jinkai Li, Huajun Gong

In this paper, we consider the Cauchy problem to the Ericksen-Leslie system of liquid crystals in $R^{3}$ . Global well-posedness of strong solutions are obtained under the co…

math.AP2014★ 20 cited

A priori estimates and Blow-up behavior for solutions of $- Q_{N} u = V e^{u}$ in bounded domain in $R^{N}$

Rulong Xie, Huajun Gong

Let $Q_{N}$ be $N$ -anisotropic Laplacian operator, which contains the ordinary Laplacian operator, $N$ -Laplacian operator and anisotropic Laplacian operator. In this paper, we firs…

math.FA2013

Commutators of multilinear singular integral operators on non-homogeneous metric measure spaces

Rulong Xie, Huajun Gong, Xiaoyao Zhou

Let $(X, d, μ)$ be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called non-homogeneous metric measure space.…

math.AP2012

Global Existence of Strong Solutions to Incompressible MHD

Huajun Gong, Jinkai Li

We establish the global existence and uniqueness of strong solutions to the initial boundary value problem for incompressible MHD equations in a bounded smooth domain of three spat…

math.AP2011★ 2 cited

Boundary regularity of stationary biharmonic maps

Huajun Gong, Tobias Lamm, Changyou Wang

We consider the Dirichlet problem for stationary biharmonic maps $u$ from a bounded, smooth domain $Ω \subset R^{n}$ ( $n \geq 5$ ) to a compact, smooth Riemannian manifold $N\subs…