activity
20182025
most citedGlobal well-posedness of non-heat conductive compressible Navier-Stokes equations in 1D

19 citations · 27 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2025

Global well-posedness of the inviscid resistive isentropic compressible MHD system

Jinkai Li, Liening Qiao

Due to the absence of dissipation mechanism to the inviscid compressible systems, it is a challenging problem to prove their global solvability. In this paper, we are concerned wit…

math.AP2025

Global well-posedness of planar MHD system without heat conductivity

Jinkai Li, Mingjie Li

In this paper, we consider the Cauchy problem to the planar magnetohydrodynamics (MHD) system with both constant viscosity and constant resistivity but without heat conductivity. G…

math.AP2021

Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data

Jinkai Li, Mingjie Li

In this paper, we consider the Cauchy problem to the planar non-resistive magnetohydrodynamic equations without heat conductivity, and establish the global well-posedness of strong…

math.AP2019★ 19 cited

Global well-posedness of non-heat conductive compressible Navier-Stokes equations in 1D

Jinkai Li

In this paper, the initial-boundary value problem of the 1D full compressible Navier-Stokes equations with positive constant viscosity but with zero heat conductivity is considered…

math.AP2019

Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball

Dongfen Bian, Jinkai Li

In this paper, we consider the initial-boundary value problem to the compressible Navier-Stokes equations for ideal gases without heat conduction in the half space or outside a fix…

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.AP2018★ 7 cited

Global well-posedness of the 1D compressible Navier-Stokes equations with constant heat conductivity and nonnegative density

Jinkai Li

In this paper we consider the initial-boundary value problem to the one-dimensional compressible Navier-Stokes equations for idea gases. Both the viscous and heat conductive coeffi…