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Exponential asymptotics and capillary waves

Abstract:

Recently developed techniques in exponential asymptotics beyond all orders are employed on the problem of potential flows with a free surface and small surface tension, in the absence of gravity. Exponentially small capillary waves are found to be generated on the free surface where the equipotentials from singularities in the flow (for example, stagnation points and corners) meet it. The amplitude of these waves is determined, and the implications are considered for many quite general flows....

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Publication status:
Published

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Publisher copy:
10.1137/S003613990038116X

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
SIAM JOURNAL ON APPLIED MATHEMATICS More from this journal
Volume:
62
Issue:
6
Pages:
1872-1898
Publication date:
2002-08-02
DOI:
EISSN:
1095-712X
ISSN:
0036-1399
Language:
English
Keywords:
Pubs id:
pubs:19672
UUID:
uuid:09cda011-3106-4244-be7e-199e293975a9
Local pid:
pubs:19672
Source identifiers:
19672
Deposit date:
2012-12-19

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