Global existence of large solutions to the planar magnetohydrodynamic equations with zero magnetic diffusivity

In this paper, we consider the initial-boundary value problem to the planar magnetohydrodynamic (MHD) equations with zero magnetic diffusivity. In the case when the coefficients of viscosity and heat conductivity are positive constants, we establish the global existence and uniqueness of strong solu...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2021-04, Vol.496 (1), p.124801, Article 124801
Main Authors: Li, Wei, Shang, Zhaoyang, Tang, Fuquan
Format: Article
Language:English
Subjects:
Global strong solutions
MHD equations
Zero magnetic diffusivity
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Summary:In this paper, we consider the initial-boundary value problem to the planar magnetohydrodynamic (MHD) equations with zero magnetic diffusivity. In the case when the coefficients of viscosity and heat conductivity are positive constants, we establish the global existence and uniqueness of strong solution by the a priori estimates. The results are obtained without any smallness restriction to the initial data and the initial density allows vacuum.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124801