Existence of Rotating Magnetic Stars
Analysis of PDEs
2023-06-23 v1
Abstract
We consider a star as a compressible fluid subject to gravitational and magnetic forces. This leads to an Euler-Poisson system coupled to a magnetic field, which may be regarded as an MHD model together with gravity. The star executes steadily rotating motion about a fixed axis. We prove, for the first time, the existence of such stars provided that the rotation speed and the magnetic field are sufficiently small.
Keywords
Cite
@article{arxiv.2306.12553,
title = {Existence of Rotating Magnetic Stars},
author = {Juhi Jang and Walter A. Strauss and Yilun Wu},
journal= {arXiv preprint arXiv:2306.12553},
year = {2023}
}