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Regularity criteria for the density-dependent Hall-magnetohydrodynamics
Affiliation:1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, PR China;2. Department of Applied Physics, Waseda University, Tokyo, 169-8555, Japan
Abstract:This paper proves two regularity criteria for the density-dependent Hall-MHD system with positive initial density. We also prove a global nonexistence result for initial density with a high decrease at infinity.
Keywords:Hall-MHD  Regularity criterion  Blow-up
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