带阻尼项和时滞项的三维磁流体方程解的适定性OACSTPCD
Well-Posedness of Solution for Three-Dimensional Magnetofluid Equations with Damping and Delay Terms
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 nonlinear 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 when α≥16/5.Secondly,the uniqueness of strong solutions was proven by using the Gagliardo-Niernberg inequality.
张明娇;宋小亚;李晓军
河海大学数学学院,南京 211100
数学
三维磁流体方程阻尼时滞适定性
three-dimensional magnetofluid equationdampingdelaywell-posedness
《吉林大学学报（理学版）》 2024 (001)
63-77 / 15
国家自然科学基金(批准号:12201180)和中央高校基本科研业务费专项基金(批准号:B230201041).
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