Geodesic
Beale-Kato-Majda's criterion for magneto-hydrodynamic equations with zero viscosity
Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1.

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This paper is concerned to study the blow-up criterion of smooth solutions to the three dimensional magneto-hydrodynamic equations with zero viscosity.\ We prove that the smooth solution may be extended by standard energy method, provided that the norm of the gradient of velocity in a space much bigger than $\overset{.}{B}_{\infty ,\infty }^{0}$. This result obtained in this manuscript improves the former corresponding result.
Publié le :
DOI : 10.30755/NSJOM.09142
Classification : 35Q35, 35B65, 76D05
Keywords: Magneto-hydrodynamic equations with zero viscosity, $\overset{.}{B}_{\infty ,\infty }^{0}$ space 
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     title = {Beale-Kato-Majda's criterion for magneto-hydrodynamic equations with zero viscosity},
     journal = {Novi Sad Journal of Mathematics},
     pages = {89 - 97},
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     year = {2020},
     doi = {10.30755/NSJOM.09142},
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Ahmad M. Alghamdi; Sadek Gaka; Maria Alessandra Ragusa. Beale-Kato-Majda's criterion for magneto-hydrodynamic equations with zero viscosity. Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1. doi : 10.30755/NSJOM.09142. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09142/

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