5 papers
The unique solvability of strong solution to the multi-dimensional nonhomogeneous incompressible two-phase magnetohydrodynamic model
Lingxin Jiang, Fuyi Xu
The present paper studies the initial-boundary value problem of the nonhomogeneous incompressible two-phase magnetohydrodynamic model with Landau potential in a bounded smooth doma…
Stabilization by a background magnetic field: global well-posedness of the full compressible viscous non-resistive MHD system without heat-conductivity
Liening Qiao, Juntao Sun, Jiahong Wu +1
We consider the three-dimensional full compressible magnetohydrodynamic(MHD) system on the periodic torus in the regime where the only dissipative mechanism acting on…
Stabilization by a background magnetic field: global well-posedness of the compressible isentropic ideal MHD equations with velocity damping
Liening Qiao, Jiahong Wu, Fuyi Xu +1
We study the Cauchy problem for the three-dimensional isentropic compressible ideal (inviscid and non-resistive) magnetohydrodynamic equations with velocity damping on the periodic…
On the uniqueness of strong solution to the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system
Lingxin Jiang, Jiahong Wu, Fuyi Xu
This paper is mainly concerned with an initial-boundary value problem of the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system with the Landau potential in a two and…
Magnetic Stabilization of Compressible Flows: Global Existence in 3D Inviscid Non-Isentropic MHD Equations
Jiahong Wu, Fuyi Xu, Xiaoping Zhai
Solutions to the compressible Euler equations in all dimensions have been shown to develop finite-time singularities from smooth initial data such as shocks and cusps. There is an…