Saint-Venant Estimates and Liouville-Type Theorems for the Stationary MHD Equation in ${\mathbb{R}}^3$

Jing Loong, Guoxu Yang

In this paper, we investigate a Liouville-type theorem for the MHD equations using Saint-Venant type estimates. We show that \( (u, B) \) is a trivial solution if the growth of the…