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Global expanding solutions of compressible Euler equations with small initial densities

Analysis of PDEs 2019-04-03 v1

Abstract

We prove the existence of a large class of global-in-time expanding solutions to vacuum free boundary compressible Euler flows without relying on the existence of an underlying finite-dimensional family of special affine solutions of the flow.

Keywords

Cite

@article{arxiv.1904.01122,
  title  = {Global expanding solutions of compressible Euler equations with small initial densities},
  author = {Shrish Parmeshwar and Mahir Hadzic and Juhi Jang},
  journal= {arXiv preprint arXiv:1904.01122},
  year   = {2019}
}

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51 pages