中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
Speaker: Professor Tao Luo (Georgetown University)
Time: 3:50-4:50pm, May 15th, 2015
Place: Rm N602, South Building
Abstract: 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 $\mathbb{R}^3$, 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.