Liouville-Type Theorems for the Stationary Ideal Magnetohydrodynamics Equations in Rn
Journal of Mathematical Fluid Mechanics, ISSN: 1422-6952, Vol: 26, Issue: 4
2024
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Article Description
In this paper, we establish Liouville-type theorems for the stationary ideal compressible magnetohydrodynamics system in R with n∈{1,2,3}. We address various cases when the finite energy condition is in force and the stationary density function ρ satisfies lim|x|→∞ρ(x)=ρ≥0. Our proof relies heavily on the good structure of the nonlinear magnetic force term and the usage of well-chosen smooth cut-off test functions.
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Springer Science and Business Media LLC
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