LIOUVILLE-TYPE THEOREM FOR STEADY HELICALLY SYMMETRIC MHD SYSTEM IN R3

We show that any bounded smooth helically symmetric solution ( u , h ) in R 3 must be constant vectors. This is an extension of previous result[17, 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.