Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab. (February 2023)

• Record Type: Journal Article
• Authors: Zhao, Youyi
• Is Part Of: Nonlinear analysis. Volume 227(2023)
• Publication Date: 2023-02
• Subjects: MHD fluids -- Compressible fluids -- Global well-posedness; 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.2022.113162
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we investigate the existence and uniqueness of global strong solutions to the system of compressible viscous non-resistive MHD equations in a three-dimensional horizontally infinite slab with finite height. We first reformulate our analysis to Lagrangian coordinates, and then develop a new mathematical approach to establish global well-posedness of the MHD system, which requires no compatibility conditions on the initial data.