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On convergence of numerical solutions for the compressible MHD system with weakly divergence-free magnetic field
Yang Li, Bangwei She
We study a general convergence theory for the analysis of numerical solutions to the magnetohydrodynamic system describing the time evolution of compressible, viscous, electrically…
On global-in-time weak solutions to a 2D full compressible non-resistive MHD system
Yang Li, Yongzhong Sun
In this paper, we consider a two-dimensional non-resistive magnetohydrodynamic model, taking the fluctuation of absolute temperature into account. Combining the method of weak conv…
On weak solutions to the compressible inviscid two-fluid model
Yang Li, Ewelina Zatorska
In three space dimensions, we consider the compressible inviscid model describing the time evolution of two fluids sharing the same velocity and enjoying the algebraic pressure clo…
On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids
Eduard Feireisl, Yang Li
We consider the motion of an inviscid compressible fluid under the mutual interactions with magnetic field. We show that the initial value problem is ill--posed in the class of wea…
Large time behavior for a compressible two-fluid model with algebraic pressure closure and large initial data
Yang Li, Yongzhong Sun, Ewelina Zatorska
In this paper, we consider a compressible two-fluid system with a common velocity field and algebraic pressure closure in dimension one. Existence, uniqueness and stability of glob…
Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids
Yang Li, Yongzhong Sun
We consider a two-dimensional MHD model describing the evolution of viscous, compressible and electrically conducting fluids under the action of vertical magnetic field without res…