A new blowup criterion for strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamic equations

作者：Zhu, Limei; Chen, Yingshan^*

来源：Nonlinear Analysis: Real World Applications , 2018, 41: 461-474.

DOI：10.1016/j.nonrwa.2017.10.018

• Magnetohydrodynamic flow model(MHD)
• Strong solution
• Blowup criterion
• Vacuum

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 (LtLxq1)-L-infinity-norm of the density and (LtLx6)-L-infinity 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.

• 出版日期2018-6
• 单位华南理工大学