On the convergence of solutions of globally modified magnetohydrodynamics equations with locally Lipschitz delays terms

Invariant measures and statistical solutions of the globally modified magnetohydrodynamics equations

“…In the present paper, we continue with the analysis of the GMMHDEs, which was initiated recently in the paper [4] and also studied by Deugoué et al in [3], where the authors proved the existence and uniqueness of strong solutions for the threedimensional system of GMMHDEs with locally Lipschitz delay terms. Here, we will address some open questions, such as the statistical analysis of the GMMHDEs.…”

“…The system (1)-( 2) is indeed globally modified version of the usual Magnetohydrodynamics equations. The modified factors F N (∥u∥ V ) and F N (∥(u, B)∥ V ) depend on the norms ∥u∥ V = ∥∇u∥ (L 2 (O)) 3 and ∥(u,…”