9 citations · 16 across the 7 of their papers we have counts for
7 papers
Entropy-bounded solutions to the Cauchy problem of compressible planar non-resistive magnetohydrodynamics equations with far field vacuum
Jinkai Li, Mingjie Li, Yang Liu +1
We investigate the Cauchy problem to the compressible planar non-resistive magnetohydrodynamic equations with zero heat conduction. The global existence of strong solutions to such…
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…
Low Mach Number Limit of Multidimensional Steady Flows on the Airfoil Problem
Mingjie Li, Tian-Yi Wang, Wei Xiang
In this paper, we justify the low Mach number limit of the steady irrotational Euler flows for the airfoil problem, which is the first result for the low Mach number limit of the s…
Low Mach Number Limit of Steady Euler Flows in Multi-Dimensional Nozzles
Mingjie Li, Tian-Yi Wang, Wei Xiang
In this paper, we consider the steady irrotational Euler flows in multidimensional nozzles. The first rigorous proof on the existence and uniqueness of the incompressible flow is p…
Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data
Quansen Jiu, Mingjie Li, Yulin Ye
In this paper, we prove that the 1D Cauchy problem of the compressible Navier-Stokes equations admits a unique global classical solution if the viscosity w…
The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent viscosities
Mingjie Li, Teng Wang, Yi Wang
In this paper we study the zero dissipation limit of the one-dimensional full compressible Navier-Stokes(CNS) equations with temperature-dependent viscosity and heat-conduction coe…
Zero dissipation limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations
Feimin Huang, Mingjie Li, Yi Wang
It is well-known that one-dimensional isentropic gas dynamics has two elementary waves, i.e., shock wave and rarefaction wave. Among the two waves, only the rarefaction wave can be…