1 citations · 2 across the 4 of their papers we have counts for
6 papers · 1 filter
Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field
Dongfen Bian, Shouyi Dai, Jingjing Mao
In this paper, we consider the Boussinesq equations with magnetohydrodynamics convection in the domain and establishes the nonlinear stability of the…
Linear instability of -pinch in plasma (II): Viscous case
Dongfen Bian, Yan Guo, Ian Tice
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescri…
Linear instability of -pinch in plasma (I): Inviscid case
Dongfen Bian, Yan Guo, Ian Tice
The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescri…
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…
Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects
Dongfen Bian, Jitao Liu
This paper is concerned with the initial-boundary value problem to 2D magnetohydrodynamics-Boussinesq system with the temperature-dependent viscosity, thermal diffusivity and elect…
Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations
Dongfen Bian, Lili Fan, Lin He +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, F. M. Huang, A. Matsumura and X. D. Shi showed tha…