@article{Lu2023, 
author = {Li Lu},
title = {One new blow-up criterion for the two-dimensional full compressible magnetohydrodynamic equations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {15876-15891},
keywords = {full compressible MHD equations, strong solution, blow-up criterion},
url = {https://www.sciopen.com/article/10.3934/math.2023810},
doi = {10.3934/math.2023810},
abstract = {This paper concerns the blow-up criterion for two-dimensional (2D) viscous, compressible, and heat conducting magnetohydrodynamic(MHD) flows. When the magnetic field    H satisfies the perfect conducting boundary condition    H  ⋅  n  =  curl  H  =  0, we prove that for the initial boundary value problem of the two-dimensional full compressible MHD flows with initial density allowed to vanish, the strong solution exists globally provided    ‖  H      ‖                  L        ∞            (      0      ,      T      ;                    L        b            )        +  ‖                    d        i        v              u      ‖                  L        1            (      0      ,      T      ;                    L        ∞            )        <  ∞ for any    b  >  2.}
}