2021
DOI: 10.1007/s00021-021-00620-z
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Global Small Solutions to the Inviscid Hall-MHD System

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“…A blow up criterion and small data global existence of classical solutions (µ ≥ 0 and ν > 0) were also given in [3], and it was later sharpened in [4]. When the initial magnetic field is close to a background magnetic field that satisfying a Diophantine condition, a global well-posedness for small solutions to the inviscid (µ = 0 and ν > 0) Hall-MHD system on T 3 was given in [15].…”
mentioning
confidence: 99%
“…A blow up criterion and small data global existence of classical solutions (µ ≥ 0 and ν > 0) were also given in [3], and it was later sharpened in [4]. When the initial magnetic field is close to a background magnetic field that satisfying a Diophantine condition, a global well-posedness for small solutions to the inviscid (µ = 0 and ν > 0) Hall-MHD system on T 3 was given in [15].…”
mentioning
confidence: 99%