Geodesic
Equations aux dérivées partielles
Shinbrot’s energy conservation criterion for the 3D Navier–Stokes–Maxwell system
Ma, Dandan1 ; Wu, Fan1 
1 College of Science, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China
Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 91-96

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This paper concerns the energy conservation for the weak solutions to the Navier–Stokes–Maxwell system. Although the Maxwell equation with hyperbolic nature, we still establish a L q L p type condition guarantee validity of the energy equality for the weak solutions. We mention that there no regularity assumption on the electric field E.

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DOI : 10.5802/crmath.379
Classification : 76W05, 35Q30, 35Q61

Ma, Dandan 1 ; Wu, Fan 1

1 College of Science, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, China
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Shinbrot{\textquoteright}s energy conservation criterion for the {3D} {Navier{\textendash}Stokes{\textendash}Maxwell} system},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {91--96},
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Ma, Dandan; Wu, Fan. Shinbrot’s energy conservation criterion for the 3D Navier–Stokes–Maxwell system. Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 91-96. doi: 10.5802/crmath.379

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