Zero dielectric constant limit of the full Magnet-Hydro-Dynamics system. (June 2015)

• Record Type: Journal Article
• Authors: Yang, Jianwei
• Is Part Of: Nonlinear analysis. Volume 120(2015)
• Page Start: 227
• Page End: 235
• Publication Date: 2015-06
• Subjects: 35Q30 -- 76W05 -- 35Q60 -- 35B25; Navier–Stokes equations -- Maxwell equations -- MHD -- Zero dielectric constant limit; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.03.011
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we study the zero dielectric constant limit to the full Magnet-Hydro-Dynamics system (or more precisely the Maxwell–Navier–Stokes system). For well prepared initial data, the convergences of solutions of the full MHD system towards to the solutions of the classical 2D parabolic MHD system are justified rigorously by adapting the elaborate energy method as the dielectric constant tends to zero. Furthermore, the corresponding convergence rates are also obtained.