磁流体动力学方程组解的整体存在性与渐近稳定性  

Global existence and asymptotic stability of solutions for the magneto-hydrodynamic equations

作　　者：罗永轲 田卫东[1] LUO Yong-ke;TIAN Wei-dong(College of Arts and Sciences,Yangling Vocational and Technical College,Yangling 712100,Shaanxi,China)

机构地区：[1]杨凌职业技术学院文理分院,陕西杨凌712100

出　　处：《宝鸡文理学院学报(自然科学版)》2024年第4期15-22,共8页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：杨凌职业技术学院2024年院级基金项目(ZK24-63)。

摘　　要：目的研究磁流体动力学方程组解的整体存在性和渐近稳定性。方法利用压缩映射原理与Lebesgue控制收敛定理进行研究。结果与结论证明了磁流体动力学方程组在临界Besov-Morrey空间中的存在唯一的整体解,得到了该方程组自相似解的渐近稳定性。Purposes—To study the global existence and asymptotic stability of solutions for the magneto-hydrodynamic equations.Methods—The contraction mapping principle and Lebesgue dominated convergence theorem are used for the said purposes.Result and Conclusion—The global existence and uniqueness of the solutions are established in critical Besov-Morrey spaces.In addition,the asymptotic stability of self-similar solutions are also obtained.

关 键 词：磁流体动力学方程组 自相似解 渐近稳定性 Besov-Morrey空间 

分 类 号：O175.29[理学—数学]