Global weak solutions for the two-dimensional magnetohydrodynamic equations with partial dissipation and diffusion. (October 2016)

• Record Type: Journal Article
• Authors: Regmi, Dipendra
• Is Part Of: Nonlinear analysis. Volume 144(2016)
• Page Start: 157
• Page End: 164
• Publication Date: 2016-10
• Subjects: 35A01 -- 35B45 -- 35B65 -- 76D03 -- 76D09; MHD equations -- Partial dissipation -- Vertical diffusion -- Weak solutions -- Classical solutions -- Global regularity; 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.2016.07.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we consider the two-dimensional magnetohydrodynamic equations. We establish global weak solution for MHD equations with partial dissipation and vertical diffusion. We also obtain a regularity condition.