Abstract
In this paper we consider the isentropic compressible magnetohydrodynamic equations in three space dimensions, and establish a blow-up criterion of classical solutions, which depends on the gradient of the velocity and magnetic field.
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Acknowledgments
The work was supported by the National Natural Science Foundation of China (No. 11671075 and No. 11571227). The author therefore acknowledge with thanks National Natural Science Foundation of China for technical and financial support.
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Liu, X. Blow-up Criteria of Classical Solutions of Three-Dimensional Compressible Magnetohydrodynamic Equations. Math Phys Anal Geom 21, 6 (2018). https://doi.org/10.1007/s11040-017-9263-z
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DOI: https://doi.org/10.1007/s11040-017-9263-z