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Mathematics > Analysis of PDEs

arXiv:1804.02635 (math)
[Submitted on 8 Apr 2018 (v1), last revised 23 Apr 2018 (this version, v2)]

Title:Piecewise analytic bodies in subsonic potential flow

Authors:Volker Elling
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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 $\gamma$-law with $\gamma>1$. 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.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 76G25, 35J62
Cite as: arXiv:1804.02635 [math.AP]
  (or arXiv:1804.02635v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.02635

Submission history

From: Volker Elling [view email]
[v1] Sun, 8 Apr 2018 05:44:57 UTC (126 KB)
[v2] Mon, 23 Apr 2018 03:36:33 UTC (126 KB)
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