%0 Journal Article
%T 磁场作用下Vlasov-Euler-Fokker-Planck解的全局存在性和正则性<br>Global Existence and Regularity of Vlasov-Euler-Fokker-Planck Solution with Magnetic Field
%A 宋颍聪
%J Advances in Applied Mathematics
%P 1753-1761
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.124182
%X 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。 <br />
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.
%K 不可压，经典解，正则性，能量估计<br>Incompressible
%K Classical Solution
%K Regularity
%K Energy Estimation
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=64697