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arxiv: 1212.3919 · v1 · pith:6SDDPDXFnew · submitted 2012-12-17 · 🧮 math-ph · math.AP· math.MP

Well-posedness for Hall-magnetohydrodynamics

classification 🧮 math-ph math.APmath.MP
keywords solutionsdatasmoothexistenceglobalhall-magnetohydrodynamicshall-mhdincompressible
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We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resitive, viscous or inviscid Hall-MHD model. We also show a Liouville theorem for the stationary solutions.

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