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Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge

Abstract:

For a supersonic Euler flow past a straight-sided wedge whose vertex angle is less than the extreme angle, there exists a shock-front emanating from the wedge vertex, and the shock-front is usually strong especially when the vertex angle of the wedge is large. In this paper, we establish the L 1 well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge whose boundary slope function has small total variation, when the total variation of the...

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Publisher copy:
10.1016/j.jde.2007.09.005

Authors


Journal:
Journal of Differential Equations
Volume:
244
Issue:
6
Pages:
1521-1550
Publication date:
2008-03-15
DOI:
EISSN:
1090-2732
ISSN:
0022-0396
Source identifiers:
203434
Language:
English
Keywords:
Pubs id:
pubs:203434
UUID:
uuid:377ecc56-044a-4c86-ad32-52855c3b095f
Local pid:
pubs:203434
Deposit date:
2012-12-19

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