Abstract
In this paper we first establish the uniform regularity of smooth solutions with respect to the viscosity coefficients to the isentropic compressible magnetohydrodynamic system in a periodic domain \(\mathbb{T}^{n}\). We then apply our result to obtain the isentropic compressible magnetohydrodynamic system with zero viscosity.
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The authors are very grateful to the nice reviewer for his/her constructive suggestions.
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This paper is supported by the National Natural Science Foundation of China (No. 11971234, 11671193) and a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
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Fan, Js., Li, Fc. & Nakamura, G. Uniform Regularity for the Isentropic Compressible Magnetohydrodynamic System. Acta Math. Appl. Sin. Engl. Ser. 38, 410–416 (2022). https://doi.org/10.1007/s10255-022-1084-6
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DOI: https://doi.org/10.1007/s10255-022-1084-6