带阻尼项和时滞项的三维磁流体方程解的适定性  

Well-Posedness of Solution for Three-DimensionalMagnetofluid Equations with Damping and Delay Terms

作　　者：张明娇 宋小亚 李晓军 ZHANG Mingjiao;SONG Xiaoya;LI Xiaojun(College of Mathematics,Hohai University,Nanjing 211100,China)

机构地区：[1]河海大学数学学院,南京211100

出　　处：《吉林大学学报（理学版）》2024年第1期63-77,共15页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12201180);中央高校基本科研业务费专项基金(批准号:B230201041)。

摘　　要：用Faedo-Galerkin方法研究有界区域上具有非线性阻尼项和时滞项的三维磁流体方程,解决了解的适定性问题.首先,证明当α≥16/5时强解的存在性;其次,利用Gagliardo-Niernberg不等式证明强解的唯一性.We used the Faedo-Galerkin method to investigate the three-dimensional magnetofluid equations with nonli near damping terms and delay terms on a bounded domain and solved the problem of well-posedness of the solutions.Firstly,the existence of strong solutions was proven whenα≥16/5.Secondly,the uniqueness of strong solutions was proven by using the Gagliardo-Niernberg inequality.

关 键 词：三维磁流体方程 阻尼 时滞 适定性 

分 类 号：O175.2[理学—数学]