磁流体力学方程组的稳定性和不稳定性研究

11871005
2018
A0306.混合型、退化型偏微分方程
边东芬
面上项目
副教授
北京理工大学
53万元
不稳定性;非均匀稳态磁场的稳定性和不稳定性;自由边界;真空;磁流体力学方程组;Rayleigh-Taylor
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier-Stokes equations with far field vacuum 期刊论文 Jinkai Li;zhouping Xin
2 Unique continuation for stationary and dynamical Q-tensor system of nematic liquid crystals in dimension three 期刊论文 Shijin Ding;Jinrui Huang;Junyu Lin
3 Stability threshold for 2D shear flows of the Boussinesq system near Couette 期刊论文 Dongfen Bian;Xueke Pu
4 Symmetrical Prandtl boundary layer expansions of steady Navier-Stokes equations on bounded domain 期刊论文 Quanrong Li;Shijin Ding
5 MODULATION APPROXIMATION FOR THE QUANTUM EULER-POISSON EQUATION 期刊论文 Bian Dongfen;Liu Huimin;Pu Xueke
6 Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping 期刊论文 Dongfen Bian;Jingjing Mao
7 Boundary layer for 3D nonlinear parallel pipe flow of nonhomogeneous incompressible Navier-Stokes equations 期刊论文 Shijin Ding;Zhilin Lin;Cuiyu Wang
8 Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation 期刊论文 Dongfen Bian;Jingjing Mao;Xueke Pu
9 Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum 期刊论文 Jinkai Li;Zhouping Xin
10 Global small solutions of heat conductive compressible Navier–Stokes equations with vacuum smallness on scaling invariant quantity 期刊论文 Jinkai Li
11 GLOBAL WELL-POSEDNESS OF NON-ISOTHERMAL INHOMOGENEOUS NEMATIC LIQUID CRYSTAL FLOWS 期刊论文 Bian Dongfen;Xiao Yao
12 Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion 期刊论文 Liu Huimin;Bian Dongfen;Pu Xueke
13 The primitive equations approximation of the anisotropic horizontally viscous 3D Navier-Stokes equations 期刊论文 Jinkai Li;Edriss S. Titi;Guozhi Yuan
14 On the Nonlinear Stability and Instability of the Boussinesq System for Magnetohydrodynamics Convection 期刊论文 Bian Dongfen
15 Verification of Prandtl boundary layer ansatz for steady electrically conducting fluids with a moving physical boundary 期刊论文 Shijin Ding;Zhilin Lin;Feng Xie
16 Linear instability of Z-pinch in plasma: Inviscid case 期刊论文 Dongfen Bian;Yan Guo;Ian Tice
17 Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball 期刊论文 Dongfen Bian;Jinkai Li
18 Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity 期刊论文 Chongsheng Cao;Jinkai Li;Edriss S. Titi
19 Viscous shock wave to an inflow problem for compressible viscous gas with large density oscillations 期刊论文 Dongfen Bian;Lili Fan;Lin He;Huijiang Zhao
20 On the stability of hydrostatic equilibrium in a uniform magnetic field with partial dissipation 期刊论文 Xintong Ji;Dongfen Bian
21 Linear instability of Z-pinch in plasma: Viscous case 期刊论文 Dongfen Bian;Yan Guo;Ian Tice
22 Global Solutions of a diffuse interface model for the two-phase flow of compressible viscous fluids in 1D 期刊论文 Shijin Ding;Yinghua Li
23 Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate 期刊论文 Shijin Ding;Zhilin Lin
24 Quantum hydrodynamic equation and its mathematical theory 专著 Boling Guo;Xiaoyu Xi;Binqiang Xie;Guangwu Wang;Dongfen Bian
25 Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity 期刊论文 Yuanxiang Yan;Shijin Ding;Yinghua Li
26 Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity 期刊论文 Jinkai Li;Guozhi Yuan
27 Global smooth axisymmetic solutions of the Boussinesq equations for magnetohydrodynamics convection 期刊论文 Dongfen Bian;Xueke Pu
28 Global well-posedness of the one-dimensional compressible Navier-Stokes equations with constant heat conductivity and nonnegative density 期刊论文 Jinkai Li
29 Stability for two-dimesioal plane Couette flow to the incompressible Navier-Stokes equations with Navier boundary conditions 期刊论文 Shijin Ding;Zhilin Lin
30 Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows 期刊论文 Shijin Ding;Zhijun Ji;Zhilin Lin
31 Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes 期刊论文 Sabine Hittmeir;Rupert Klein;Jinkai Li;Edriss S. Titi
32 Global existence and decay for the classical solutions to a compressible fluid-particle interaction model 期刊论文 Shijin Ding;Bingyuan Huang;Quanrong Li
33 Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions 期刊论文 Jinkai Li;Zhouping Xin
34 Boundary layer for 3D plane parallel channel flows of nonhomogeneous incompressible Navier-Stokes equations 期刊论文 Shijin Ding;Zhilin Lin;Dongjuan Niu
35 Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data 期刊论文 Jinkai Li;Mingjie Li
36 Strong solutions to a fluid-particle interaction model with magnetic field in ℝ2 期刊论文 Shijin Ding;Bingyuan Huang;Xiaoyan Hou
37 Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum 期刊论文 Huajun Gong;Jinkai Li;Xian-gao Liu;Xiaotao Zhang
38 可压缩量子流体力学方程及其数学理论 专著 边东芬;郭柏灵;席肖玉;解斌强;王光武
39 Global well-posedness of the Navier-Stokes equations with Navier-slip boundary conditions in a strip domain 期刊论文 Quanrong Li;Shijin Ding
40 Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation 期刊论文 Bian Dongfen;Dai Shouyi;Mao Jingjing
41 Global well-posedness of non-heat conductive compressible Navier–Stokes equations in 1D 期刊论文 Jinkai Li
42 Rayleigh–Taylor instability for nonhomogeneous incompressible fluids with Navier-slip boundary conditions 期刊论文 Shijin Ding;Zhijun Ji;Quanrong Li
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