西华大学学报（自然科学版）2024，Vol.43Issue(3)：91-96,112,7.DOI:10.12198/j.issn.1673-159X.4976
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
摘要
Abstract
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 magnetohydro-dynamics 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Key words
Vlasov-MHD equations/initial boundary value problem/global strong solution/energy estimate分类
数理科学引用本文复制引用
倪金凯,蒋鹏..Vlasov-Fokker-Planck-MHD方程组整体强解的存在性[J].西华大学学报（自然科学版）,2024,43(3):91-96,112,7.基金项目
江苏省自然科学基金资助项目(BK20191296). （BK20191296）
