Abstract
This paper is concerned with 3D steady compressible MHD equations. We first establish two improved Liouville-type theorems provided the velocity field and magnetic field belong to some iterated Lorentz spaces Lp,s1Lq,s2Lr,s3, and then in the more general, we obtain Liouville theorems only involving the velocity in the iterated Lorentz spaces. The corresponding statement improves and extends several known results and contain some well-known results as a particular case.
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