Journal article

On two-dimensional sonic-subsonic flow

Abstract:

A compensated compactness framework is established for sonic-subsonic approximate solutions to the two-dimensional Euler equations for steady irrotational flows that may contain stagnation points. Only crude estimates are required for establishing compactness. It follows that the set of subsonic irrotational solutions to the Euler equations is compact; thus flows with sonic points over an obstacle, such as an airfoil, may be realized as limits of sequences of strictly subsonic flows. Furtherm...

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Publisher copy:
10.1007/s00220-007-0211-9

Authors

Journal:
Communications in Mathematical Physics
Volume:
271
Issue:
3
Pages:
635-647
Publication date:
2007-05-05
DOI:
EISSN:
1432-0916
ISSN:
0010-3616
URN:
uuid:c4625c05-2eb5-488b-9db3-ba8f3dfe21e6
Source identifiers:
203402
Local pid:
pubs:203402
Language:
English