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The \emph{two-dimensional} (2D) existence result of global(-in-time)solutions for the motion equations of incompressible, inviscid, non-resistivemagnetohydrodynamic (MHD) fluids with velocity damping had been established in[Wu--Wu--Xu, SIAM J. Math. Anal. 47 (2013), 2630--2656]. This paper furtherstudies the existence of global solutions for the \emph{three-dimensional} (adimension of real world) initial-boundary value problem in a horizontallyperiodic domain with finite height. Motivated by the multi-layers energy methodintroduced in [Guo--Tice, Arch. Ration. Mech. Anal. 207 (2013), 459--531], wedevelop a new type of two-layer energy structure to overcome the difficultyarising from three-dimensional nonlinear terms in the MHD equations, and thusprove the initial-boundary value problem admits a unique global solution.Moreover the solution has the exponential decay-in-time around some rest state.Our two-layer energy structure enjoys two features: (1) the lower-order energy(functional) can not be controlled by the higher-order energy. (2) under the\emph{a priori} smallness assumption of lower-order energy, we first close thehigher-order energy estimates, and then further close the lower-energyestimates in turn.

Global Solutions of Three-dimensional Inviscid MHD Fluids with Velocity Damping in Horizontally Periodic Domains