Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum

Xumin Gu; Zhen Lei

Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum

Analysis of PDEs 2014-05-20 v1

Authors: Xumin Gu , Zhen Lei

Abstract

This paper is concerned with the three dimensional compressible Euler--Poisson equations with moving physical vacuum boundary condition. This fluid system is usually used to describe the motion of a self-gravitating inviscid gaseous star. The local existence of classical solutions for initial data in certain weighted Sobolev spaces is established in the case that the adiabatic index satisfies $1 < \gamma < 3$ .

Keywords

compressible Euler--Poisson equations physical vacuum local well-posedness weighted Sobolev spaces adiabatic index self-gravitating gaseous star

Cite

@article{arxiv.1405.4612,
  title  = {Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum},
  author = {Xumin Gu and Zhen Lei},
  journal= {arXiv preprint arXiv:1405.4612},
  year   = {2014}
}

Comments

92 pages. arXiv admin note: substantial text overlap with arXiv:1003.4721 by other authors

Related papers

View all related →