A regularity criterion of strong solutions to the 2D compressible magnetohydrodynamic equations. (October 2016)

• Record Type: Journal Article
• Authors: Wang, Teng
• Is Part Of: Nonlinear analysis. Volume 31(2016)
• Page Start: 100
• Page End: 118
• Publication Date: 2016-10
• Subjects: Compressible magnetohydrodynamic equations -- Regularity criterion -- Cauchy problem -- Vacuum; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.01.011
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: This paper establishes a regularity criterion of strong solutions to the two-dimensional compressible magnetohydrodynamic (MHD) flows. The criterion depends on the density, but is independent of the velocity and the magnetic field. More precisely, once the strong solutions blow up, the L ∞ -norm for the density tends to infinity. In particular, the vacuum in the solutions is allowed.