One new blow-up criterion for the two-dimensional full compressible magnetohydrodynamic equations-Reference-Cited by-同舟云学术

One new blow-up criterion for the two-dimensional full compressible magnetohydrodynamic equations

Published:2023 Issue:7 Volume:8 Page:15876-15891
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Lu Li¹²

Affiliation:

1. School of Mathematics, East China University of Science and Technology, Shanghai 200237, China

2. College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, Jiangxi, China

Abstract

<abstract><p>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 $.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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