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

EasyChair Preprint 4509

Abstract

Existence and uniqueness of strong solutions for three dimensional system of globally modified magnetohydrodynamics equations with locally Lipschitz delay terms are established in this work. Galerkin's method and Aubin Lions compactness theorem are the main mathematical tools we use to prove the existence result. Moreover, we prove that, from the sequence of weak solutions of globally modified magnetohydrodynamics equations with locally Lipschitz delay terms, we can extract a subsequence which converges in an adequate sense to a weak solution of three dimensional system of magnetohydrodynamics equations with locally Lipschitz delay terms.

Keyphrases: Finite delay, Globally modified Navier-Stokes equations, Magnetohydrodynamics equations, Strong solution, convergence

@booklet{EasyChair:4509,
  author    = {Gabriel Deugoué and Jules Djoko Kamdem and Adèle Claire Fouapé},
  title     = {On the convergence of solutions of globally modified magnetohydrodynamics equations with locally Lipschitz delay terms},
  howpublished = {EasyChair Preprint 4509},
  year      = {EasyChair, 2020}}