activity
20132023
most citedOn the Cauchy Problem of 3D Nonhomogeneous Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

63 citations · 112 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2023★ 2 cited

Massive Thirring Model: Inverse Scattering and Soliton Resolution

Cheng He, Jiaqi Liu, Changzheng Qu

In this paper the long-time dynamics of the massive Thirring model is investigated. Firstly the nonlinear steepest descent method for Riemann-Hilbert problem is explored to obtain…

math.AP2017★ 63 cited

On the Cauchy Problem of 3D Nonhomogeneous Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

Cheng He, Jing Li, Boqiang Lü

We consider the global existence and large-time asymptotic behavior of strong solutions to the Cauchy problem of the three-dimensional nonhomogeneous incompressible Navier-Stokes e…

math.AP2017★ 19 cited

New -regularity criteria of suitable weak solutions of the 3D Navier-Stokes equations at one scale

Cheng He, Yanqing Wang, Daoguo Zhou

In this paper, by invoking the appropriate decomposition of pressure to exploit the energy hidden in pressure, we present some new -regularity criteria for suitable we…

math.AP2015

Uniqueness of Positive Radial Solutions To Singular Critical Growth Quasilinear Elliptic Equations

Cheng-Jun He, Chang-Lin Xiang

In this paper, we prove that there exists at most one positive radial weak solution to the following quasilinear elliptic equation with singular critical growth \[ \begin{cases} -Δ…

math.AP2013★ 28 cited

On some new global existence result of 3D Magnetohydrodynamic equations

Cheng He, Xiangdi Huang, Yun Wang

This paper is devoted to the incompressible Magenetohydrodynamic equations in . We prove that if the difference between the magnetic field and the velocity is small initially…