Key points are not available for this paper at this time.
We show that any bounded smooth helically symmetric solution ( u , h ) in R 3 must be constant vectors. This is an extension of previous result17, Theorem 1.1 from Navier-Stokes system to MHD system. The proof relies on establishing a Saint-Venant type estimate to characterize the growth of Dirichlet integral of nontrivial solutions.
Jingwen Han (2024) studied this question.