One new blow-up criterion for the two-dimensional full compressible magnetohydrodynamic equations
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\cdot n = \mbox{curl} H = 0 $, we prove that for the initial boundary val...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-05-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023810?viewType=HTML |
| Summary: | 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\cdot n = \mbox{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^\infty(0, T; \; L^b)}+\| {{\rm{div }}} u\|_{L^1(0, T; \; L^\infty)} < \infty $ for any $ b > 2 $. |
|---|---|
| ISSN: | 2473-6988 |