Existence of Magnetic Compressible Fluid Stars
Analysis of PDEs
2015-06-18 v1 General Relativity and Quantum Cosmology
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 , and obtaining the estimates of the Green's function for this elliptic equation by transforming it to 5-Laplacian.
Keywords
Cite
@article{arxiv.1402.0265,
title = {Existence of Magnetic Compressible Fluid Stars},
author = {Paul Federbush and Tao Luo and Joel Smoller},
journal= {arXiv preprint arXiv:1402.0265},
year = {2015}
}