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On the Convergence of Solutions of Globally Modified Magnetohydrodynamics Equations with Locally Lipschitz Delays Terms
Quaestiones Mathematicae ( IF 0.7 ) Pub Date : 2021-02-17
G. Deugoue, J.K. Djoko, A.C. Fouape

Abstract

Existence and uniqueness of strong solutions for the three dimensional system of globally modified magnetohydrodynamics equations with locally Lipschitz delays terms are established in this article. 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 a sequence of weak solutions of globally modified magnetohydrodynamics equations with locally Lipschitz delays terms, we can extract a subsequence which converges in an adequate sense to a weak solution of three dimensional magnetohydrodynamics equations with locally Lipschitz delays terms.



中文翻译:

局部Lipschitz时滞项全局修正的磁流体力学方程解的收敛性。

摘要

本文建立了具有局部Lipschitz时滞项的全局修改磁流体动力学方程三维系统强解的存在性和唯一性。Galerkin方法和Aubin Lions紧性定理是我们用来证明存在性结果的主要数学工具。此外,我们证明,从具有局部Lipschitz时滞项的全局修改的磁流体动力学方程的弱解序列中,我们可以提取在适当意义上收敛到具有局部Lipschitz时滞项的三维磁流体力学方程的弱解的子序列。

更新日期:2021-02-17
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