中科院数学与系统科学研究院
数学研究所
学术报告会
报告人: Professor Tao Luo (Georgetown University)
题 目:Existence of Magnetic Compressible Fluid Stars
时 间:05.15(星期五), 15:50--16:50
地 点:数学院南楼N602室
摘 要:In this talk, the proof for the existence of magnetic star solutions which are axi-symmetric stationary solutions for the Euler-Poisson system of compressible fluids coupled to a magnetic field will be presented by a variational approach. Our method of proof consists of deriving an elliptic equation for the magnetic potential in cylindrical coordinates in R^3, and obtaining the estimates of the Green's function for this elliptic equation by transforming it to 5-Laplacian. This is joint work with P. Federbush and J. Smoller.