Zero viscosity and diffusion vanishing limit of the incompressible magnetohydrodynamic system with perfectly conducting wall. (August 2015)

• Record Type: Journal Article
• Authors: Wu, Zhonglin; Wang, Shu
• Is Part Of: Nonlinear analysis. Volume 24(2015)
• Page Start: 50
• Page End: 60
• Publication Date: 2015-08
• Subjects: Incompressible viscous and diffusive MHD system -- Ideal inviscid MHD system -- Anisotropic inviscid MHD system -- Boundary layer -- Perfectly conducting wall; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.01.002
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This work investigates the incompressible viscous and diffusive MHD system with perfectly conducting wall boundary condition. For different horizontal and vertical viscosities and magnetic diffusions, when they go to zero with different or same speeds, we establish the convergence to the ideal inviscid MHD system and the anisotropic inviscid MHD system by constructing the exact boundary layer functions.