UNIFORM REGULARITY AND VANISHING VISCOSITY LIMIT FOR THE INCOMPRESSIBLE NON-RESISTIVE MHD SYSTEM WITH TRANSVERSE MAGNETIC FIELD
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 2725-2750 |
| Journal / Publication | Communications on Pure and Applied Analysis |
| Volume | 20 |
| Issue number | 7&8 |
| Online published | Apr 2021 |
| Publication status | Published - Jul 2021 |
Link(s)
Abstract
This paper is concerned with the vanishing viscosity limit for the incompressible MHD system without magnetic diffusion effect in the half space under the influence of a transverse magnetic field on the boundary. We prove that the solution to the incompressible MHD system is uniformly bounded in both conormal Sobolev norm and L∞ norm in a fixed time interval independent of the viscosity coefficient. As a direct consequence, the inviscid limit from the viscous MHD system to the ideal MHD system is established in L∞-norm. In addition, the analysis shows that the boundary layer effect is weak because of the transverse magnetic field.
Research Area(s)
- Incompressible non-resistive MHD flows, Transverse magnetic field, Uniform regularity, Vanishing viscosity limit
Citation Format(s)
UNIFORM REGULARITY AND VANISHING VISCOSITY LIMIT FOR THE INCOMPRESSIBLE NON-RESISTIVE MHD SYSTEM WITH TRANSVERSE MAGNETIC FIELD. / LIU, Cheng-Jie; XIE, Feng; YANG, Tong.
In: Communications on Pure and Applied Analysis, Vol. 20, No. 7&8, 07.2021, p. 2725-2750.
In: Communications on Pure and Applied Analysis, Vol. 20, No. 7&8, 07.2021, p. 2725-2750.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
