Abstract:In this paper, we study the 3-D incompressible fractional stationary MHD equations on the torus $\mathbb{T}^3$. For fractional power indices $\alpha_1,\alpha_2 >0,$ we prove that there exist infinite non-trivial stationary singular solutions of 3-D fractional MHD equations via convex integration. In particular, this result shows the non-uniqueness of weak solutions to the 3-D stationary MHD equations in some sub-critical Besov spaces.
From: Peng Qu [view email]
[v1]
Mon, 15 Jun 2026 02:57:55 UTC (30 KB)
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