Journal article

A MODEL FOR NONSMOOTH FREE BOUNDARIES IN HELE-SHAW FLOWS

Abstract:: A special case of the Stefan model for the evolution of zero surface tension Hele-Shaw free-boundary problems is presented. The model relies on allowing the conformal map to have singularities or zeros of its derivatives, thereby generating slits in the physical free boundary. A further possible mechanism for slit initiation is based on Schwartz function formulation. It is concluded that slit mappings are extremal univalent functions which lie naturally on the border between overlapping and non-overlapping maps.

Publication status:: Published

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APA Style

Hohlov, Y., Howison, S., Huntingford, C., Ockendon, J., & Lacey, A. (1994). A MODEL FOR NONSMOOTH FREE BOUNDARIES IN HELE-SHAW FLOWS. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 47(pt 1), 107–128.

MLA Style

Hohlov, Y., et al. “A MODEL FOR NONSMOOTH FREE BOUNDARIES IN HELE-SHAW FLOWS.” QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 47, no. pt 1, 1994, pp. 107–28.

Chicago Style

Hohlov, Y, S Howison, C Huntingford, J Ockendon, and A Lacey. 1994. “A MODEL FOR NONSMOOTH FREE BOUNDARIES IN HELE-SHAW FLOWS.” QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 47 (pt 1): 107–28.
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Publisher copy:: 10.1093/qjmam/47.1.107

Authors

+ Hohlov, Y More by this author

Role:: Author

+ Howison, S More by this author

Role:: Author

+ Huntingford, C More by this author

Role:: Author

+ Ockendon, J More by this author

Role:: Author

+ Lacey, A More by this author

Role:: Author

Journal:: QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS More from this journal
Volume:: 47
Issue:: pt 1
Pages:: 107-128
Publication date:: 1994-02-01
DOI:: 10.1093/qjmam/47.1.107
EISSN:: 1464-3855
ISSN:: 0033-5614

Language:: English
Pubs id:: pubs:2352
UUID:: uuid:724b235d-d502-4527-b425-48872e6c24a9
Local pid:: pubs:2352
Source identifiers:: 2352
Deposit date:: 2012-12-19

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Copyright date:: 1994

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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