Existence of Magnetic Compressible Fluid Stars
Abstract
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 is proved in this paper by a variational method. Our method of proof consists of deriving an elliptic equation for the magnetic potential in cylindrical coordinates in R3, and obtaining the estimates of the Green's function for this elliptic equation by transforming it to 5-Laplacian.
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