We show that any smooth solution (u, H) to the stationary equations of magnetohydrodynamics belonging to both spaces L6(R3) and BMO-1(R3) must be identically zero. This is an extension of previous results, all of which systematically required stronger integrability and the additional assumption ▽u, ▽H ∈ L2(R3), i.e., finite Dirichlet integral.
Simon SCHULZ
. LIOUVILLE TYPE THEOREM FOR THE STATIONARY EQUATIONS OF MAGNETO-HYDRODYNAMICS[J]. Acta mathematica scientia, Series B, 2019
, 39(2)
: 491
-497
.
DOI: 10.1007/s10473-019-0213-7
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