具有无限延迟的全局修正磁流体动力学方程的三维系统

IF 0.7 Q3 MATHEMATICS, APPLIED

Differential Equations & Applications Pub Date : 2021-01-01 DOI:10.7153/dea-2021-13-21

G. Deugoue, J. K. Djoko, A. C. Fouape

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引用次数: 0

摘要

．本文建立了包含有限个时滞项的三维整体模定磁流体动力学方程组强解的存在唯一性，并给出了解的一些定性性质。利用Galerkin方法、Cauchy-Lipshitz定理、先验估计、Aubin-Lions紧性定理证明了其存在性。此外，我们还研究了解的渐近性态。

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Three dimensional system of globally modified magnetohydrodynamics equations with infinite delays

. Existence and uniqueness of strong solutions for three dimensional system of globally modi ﬁ ed magnetohydrodynamics equations containing in ﬁ nite delays terms are established together with some qualitative properties of the solution in this work. The existence is proved by making use of Galerkin’s method, Cauchy-Lipshitz’s theorem, a priori estimates, the Aubin-Lions compactness theorem. Moreover, we study the asymptotic behavior of the solution.

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Differential Equations & Applications MATHEMATICS, APPLIED-

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