Boundary layer problem of MHD system with non-characteristic perfect conducting wall

ABSTRACT

In this paper, we study the boundary layer problem for the incompressible MHD system with the magnetic field having a non-characteristic perfect conducting wall boundary condition. Using the multi-scale analysis and asymptotic expansion approach, we can construct the approximate solutions for the viscous and diffuse MHD system, and utilize the careful energy method to prove the validity of the approximate solutions.

KEYWORDS:

• Incompressible MHD system
• boundary layer
• non-characteristic perfect conducting wall

AMS SUBJECT CLASSIFICATIONS:

• 35Q35
• 76W05

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The authors were partially supported by the National Natural Science Foundation of China [grant number 11371042].