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Liouville‐type theorem for the steady compressible Hall‐MHD system

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In this paper, we prove a Liouville-type theorem for the steady compressible Hall-magnetohydrodynamics system in Π, where Π is whole space R3 or half space R+3. We show that a… Click to show full abstract

In this paper, we prove a Liouville-type theorem for the steady compressible Hall-magnetohydrodynamics system in Π, where Π is whole space R3 or half space R+3. We show that a smooth solution (ρ,u,B,P) satisfying 1/C0 0 is indeed trivial. This generalizes and improves 2 results of Chae.

Keywords: theorem steady; steady compressible; type theorem; compressible hall; liouville type

Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2018

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