磁场作用下Vlasov-Euler-Fokker-Planck解的全局存在性和正则性  

Global Existence and Regularity of Vlasov-Euler-Fokker-Planck Solution with Magnetic Field

作　　者：宋颍聪 

机构地区：[1]上海理工大学理学院,上海

出　　处：《应用数学进展》2023年第4期1753-1761,共9页Advances in Applied Mathematics

摘　　要：本文研究了磁场作用下不可压缩Euler方程与Vlasov-Fokker-Planck方程通过斯托克斯阻力耦合而成的偏微分方程组系统。得到了接近平衡状态时经典解的整体时间存在性、正则性,并且得到了此系统具有瞬时的平滑效果。证明方法采用能量估计。In this paper, we consider the partial differential equation system of the incompressible Euler equation and the Vlasov-Fokker-Planck equation coupled by Stokes drag force. The global existence and regularity of classical solutions near equilibrium are obtained and we get the system has an in-stantaneous smoothing effect. Energy estimation is used to prove the method.

关 键 词：不可压 经典解 正则性 能量估计 

分 类 号：O17[理学—数学]