Vlasov-Fokker-Planck-MHD方程组整体强解的存在性  

Existence of Global Strong Solutions for Vlasov-Fokker-Planck-MHD Equations

作　　者：倪金凯 蒋鹏 NI Jinkai;JIANG Peng(College of Science,Hohai University,Nanjing 210098 China)

机构地区：[1]河海大学理学院,江苏南京210098

出　　处：《西华大学学报（自然科学版）》2024年第3期91-96,112,共7页Journal of Xihua University:Natural Science Edition

基　　金：江苏省自然科学基金资助项目(BK20191296)。

摘　　要：考虑了一维Vlasov-MHD方程组初边值问题解的整体适定性。该方程组由带有黏性的磁流体力学方程组(MHD)和Vlasov-Fokker-Planck方程构成,刻画了不带电粒子在黏性非均质可压缩导电流体中的运动。文章利用能量估计的方法并结合粒子运动的反射边界条件证明了该方程组整体强解的存在性。In this paper,we consider the global well-posedness of the solution of the initial-boundary value problem of the one-dimensional Vlasov-MHD system.The equations are composed of magnetohydrodynamics equations with viscosity(MHD)and Vlasov-Fokker-Planck equations,which describe the motion of uncharged particles in a viscous,heterogeneous,compressible conductive fluid.In this paper,we prove the existence of global strong solutions of the equations by using the method of energy estimation and the reflection boundary conditions of particle motion.

关 键 词：Vlasov-MHD方程组 初边值问题 整体强解 能量估计 

分 类 号：O175[理学—数学]