Existence of Magnetic Compressible Fluid Stars
|Journal / Publication||Archive for Rational Mechanics and Analysis|
|Online published||2 Sep 2014|
|Publication status||Published - Feb 2015|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-85027938661&origin=recordpage|
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 in 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.