activity
20172026
most citedOn the Cauchy Problem of 3D Nonhomogeneous Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

63 citations · 72 across the 9 of their papers we have counts for

collaborators

9 papers

math.AP2026

Strong solutions to the initial-boundary-value problem of compressible MHD equations with degenerate viscosities and far field vacuum in 3D exterior domains

Jiaxu Li, Boqiang Lü, Bing Yuan

This paper concerns the initial-boundary-value problem (IBVP) of the compressible Magnetohydrodynamic (MHD) equations in 3D exterior domains with Navier-slip boundary conditions fo…

math.AP2026

Local well-posedness of strong solutions to the compressible Navier-Stokes equations with degenerate viscosities and far field vacuum in 3D exterior domains

Jiaxu Li, Boqiang Lü, Bing Yuan

The isentropic compressible Navier-Stokes system subject to the Navier-slip boundary conditions is considered in a general three-dimensional exterior domain. For the density approa…

math.AP2022

Global Classical Solutions to the Full Compressible Navier-Stokes System in 3D Exterior Domains

Jiaxu Li, Jing Li, Boqiang Lü

The full compressible Navier-Stokes system (FNS) describing the motion of a viscous, compressible, heat-conductive, and Newtonian polytropic fluid in a three-dimensional (3D) exter…

math.AP2022★ 1 cited

Global Existence of Classical Solutions to Full Compressible Navier-Stokes System with Large Oscillations and Vacuum in 3D Bounded Domains

Jing Li, Boqiang Lü, Xue Wang

The full compressible Navier-Stokes system describing the motion of a viscous, compressible, heat-conductive, and Newtonian polytropic fluid is studied in a three-dimensional simpl…

math.AP2022★ 1 cited

Global Strong Solutions to Density-Dependent Viscosity Navier-Stokes Equations in 3D Exterior Domains

Guocai Cai, Boqiang Lü, Yi Peng

The nonhomogeneous Navier-Stokes equations with density-dependent viscosity is studied in three-dimensional (3D) exterior domains with nonslip or slip boundary conditions. We prove…

math.AP2021★ 6 cited

Global Classical Solutions to the Compressible Navier-Stokes Equations with Slip Boundary Conditions in 3D Exterior Domains

Guocai Cai, Jing Li, Boqiang Lü

We are concerned with the global existence of classical solutions to the barotropic compressible Navier-Stokes equations with slip boundary condition in a three-dimensional (3D) ex…

math.AP2020★ 1 cited

Global existence of strong solutions to the planar compressible magnetohydrodynamic equations with large initial data in unbounded domains

Boqiang Lü, Xiaoding Shi, Chengfeng Xiong

In one-dimensional unbounded domains, we consider the equations of a planar compressible magnetohydrodynamic (MHD) flow with constant viscosity and heat conductivity. More precisel…

math.AP2018

Global Well-Posedness and Large-Time Behavior of 1D Compressible Navier-Stokes System with Density-Depending Viscosity and Vacuum in Unbounded Domains

Kexin Li, Boqiang Lü, Yixuan Wang

We consider the Cauchy problem for one-dimensional (1D) barotropic compressible Navier-Stokes equations with density-dependent viscosity and large external force. Under a general a…

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…