Abstract: | In this paper, we prove a Liouville‐type theorem for the steady compressible Hall‐magnetohydrodynamics system in Π, where Π is whole space or half space . We show that a smooth solution (ρ, u , B ,P) satisfying 1/C0<ρ<C0, , and B ∈L9/2(Π) for some constant C0>0 is indeed trivial. This generalizes and improves 2 results of Chae. |