带阻尼项和时滞项的三维磁流体方程解的适定性

Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (1): 63-0077.

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

ZHANG Mingjiao, SONG Xiaoya, LI Xiaojun

College of Mathematics, Hohai University, Nanjing 211100, China

Received:2023-05-26 Online:2024-01-26 Published:2024-01-26

Abstract

Abstract: 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.

Key words: three-dimensional magnetofluid equation, damping, delay, well-posedness

CLC Number:

O175.2

ZHANG Mingjiao, SONG Xiaoya, LI Xiaojun. Well-Posedness of Solution for Three-Dimensional Magnetofluid Equations with Damping and Delay Terms[J].Journal of Jilin University Science Edition, 2024, 62(1): 63-0077.

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

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