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Short-time structural stability of compressible vortex sheets with surface tension

Abstract:

Assume we start with an initial vortex-sheet configuration which consists of two inviscid fluids with density bounded below flowing smoothly past each other, where a strictly positive fixed coefficient of surface tension produces a surface tension force across the common interface, balanced by the pressure jump. We model the fluids by the compressible Euler equations in three space dimensions with a very general equation of state relating the pressure, entropy and density such that the sou...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00205-016-1009-8

Authors


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Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Stevens, B
Publisher:
Springer Berlin Heidelberg
Journal:
Archive for Rational Mechanics and Analysis More from this journal
Volume:
222
Issue:
2
Pages:
603–730
Publication date:
2016-06-16
Acceptance date:
2016-05-06
DOI:
EISSN:
1432-0673
ISSN:
1432-0673
Language:
English
Pubs id:
pubs:629435
UUID:
uuid:a8b1667a-48df-427f-a6ff-c11ea7b2016b
Local pid:
pubs:629435
Source identifiers:
629435
Deposit date:
2016-06-23

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