论文标题
具有横向背景磁场的可压缩磁性水力动力学方程的消失粘度极限
Vanishing viscosity limit for compressible magnetohydrodynamics equations with transverse background magnetic field
论文作者
论文摘要
我们关注的是均匀的规律性估计和消失的溶液限制对具有横向背景磁场的二维粘性可压缩磁性水力学（MHD）方程。 When the magnetic field is assumed to be transverse to the boundary and the tangential component of magnetic field satisfies zero Neumann boundary condition, even though the velocity is imposed the no-slip boundary condition, the uniform regularity estimates of solution and its derivatives still can be achieved in suitable conormal Sobolev spaces in the half plane $\mathbb{R}^2_+$, and then the vanishing viscosity limit is justified in根据这些统一的规律性估计和一些紧凑的论点，$ l^\ infty $ sense。同时，与\ cite {clx21}一起，我们的结果表明，横向背景磁场可以防止强大的边界层出现，无论是否存在磁扩散，都可以防止可压缩的磁流失动力学。
We are concerned with the uniform regularity estimates and vanishing viscosity limit of solution to two dimensional viscous compressible magnetohydrodynamics (MHD) equations with transverse background magnetic field. When the magnetic field is assumed to be transverse to the boundary and the tangential component of magnetic field satisfies zero Neumann boundary condition, even though the velocity is imposed the no-slip boundary condition, the uniform regularity estimates of solution and its derivatives still can be achieved in suitable conormal Sobolev spaces in the half plane $\mathbb{R}^2_+$, and then the vanishing viscosity limit is justified in $L^\infty$ sense based on these uniform regularity estimates and some compactness arguments. At the same time, together with \cite{CLX21}, our results show that the transverse background magnetic field can prevent the strong boundary layer from occurring for compressible magnetohydrodynamics whether there is magnetic diffusion or not.
