#2356. Liouville-type theorems for the 3D compressible magnetohydrodynamics equations

October 2026publication date
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4 total number of authors per manuscript3510 $

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Journal’s subject area:
Analysis;
Applied Mathematics;
Computational Mathematics;
Engineering (all);
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Abstract:
The study is based on the study of 3D steady compressible MHD equations. At the first stage of the study there were two improved Liouville-type theorems provided the velocity field and magnetic field belong to some iterated Lorentz spaces Lp, sLq, sLr, s. In the second stage in the more general, Liouville theorems only involving the velocity in the iterated Lorentz spaces were obtained.
Keywords:
Compressible MHD equations; Iterated Lorentz spaces; Liouville-type theorem

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