数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (2): 491-497.doi: 10.1007/s10473-019-0213-7
Simon SCHULZ
Simon SCHULZ
摘要: 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.