English

Piecewise analytic bodies in subsonic potential flow

Analysis of PDEs 2018-04-24 v2

Abstract

We prove that there are no nonzero uniformly subsonic potential flows around bodies with three or more protruding corners, for piecewise analytic boundary and for equation of state a γ\gamma-law with γ>1\gamma>1. This generalizes an earlier result limited to the low-Mach limit for nondegenerate polygons. For incompressible flows we show the velocity cannot be globally bounded.

Keywords

Cite

@article{arxiv.1804.02635,
  title  = {Piecewise analytic bodies in subsonic potential flow},
  author = {Volker Elling},
  journal= {arXiv preprint arXiv:1804.02635},
  year   = {2018}
}
R2 v1 2026-06-23T01:17:07.456Z