A new blowup criterion for strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamic equations. (June 2018)

• Record Type: Journal Article
• Authors: Zhu, Limei; Chen, Yingshan
• Is Part Of: Nonlinear analysis. Volume 41(2018)
• Page Start: 461
• Page End: 474
• Publication Date: 2018-06
• Subjects: Magnetohydrodynamic flow model(MHD) -- Strong solution -- Blowup criterion -- Vacuum; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.10.018
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we establish a new blowup criterion for the strong solution to the Cauchy problem of the three-dimensional compressible MHD system with vacuum. Specifically, we obtain the blowup criterion in terms of L t ∞ L x q 1 -norm of the density and L t ∞ L x 6 -norm of the magnetic field. This criterion is closer to the basic energy and hence is superior to all the previous criterions in terms of the density and the magnetic field.