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• W2036626871 startingPage "1179" @default.
• W2036626871 abstract "In this paper we deal with weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations. First we prove that these solutions satisfy some weak-strong uniqueness property. Then we investigate the validity of energy identities. In particular we give a sufficient condition on the regularity of weak solutions to rule out anomalous dissipation. In the case of the Hall-Magneto-Hydrodynamic equations we also give a sufficient condition to guarantee the magneto-helicity identity. Our conditions correspond to the same heuristic scaling as the one introduced by Onsager in hydrodynamic theory. Finally we examine the sign, locally, of the anomalous dissipations of weak solutions obtained by some natural approximation processes." @default.
• W2036626871 created "2016-06-24" @default.
• W2036626871 creator A5033988356 @default.
• W2036626871 creator A5061640115 @default.
• W2036626871 date "2014-03-14" @default.
• W2036626871 modified "2023-09-25" @default.
• W2036626871 title "On the Weak Solutions to the Maxwell–Landau–Lifshitz Equations and to the Hall–Magneto–Hydrodynamic Equations" @default.
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• W2036626871 doi "https://doi.org/10.1007/s00220-014-1924-1" @default.
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