Journal article

The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann equations.

Abstract:: We consider the motion of a thin filament of viscous fluid in a Hele-Shaw cell. The appropriate thin film analysis and use of Lagrangian variables leads to the Cauchy-Riemann system in a surprisingly direct way. We illustrate the inherent ill-posedness of these equations in various contexts. © 2005 Elsevier Ltd. All rights reserved.

Publication status:: Published

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APA Style

Farmer, C., & Howison, S. (2006). The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann equations. Appl. Math. Lett., 19(4), 356–361.

MLA Style

Farmer, C., and S. Howison. “The Motion of a Viscous Filament in a Porous Medium or Hele-Shaw Cell: a Physical Realisation of the Cauchy-Riemann Equations.” Appl. Math. Lett., vol. 19, no. 4, 2006, pp. 356–61.

Chicago Style

Farmer, C, and S Howison. 2006. “The Motion of a Viscous Filament in a Porous Medium or Hele-Shaw Cell: a Physical Realisation of the Cauchy-Riemann Equations.” Appl. Math. Lett. 19 (4): 356–61.
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Publisher copy:: 10.1016/j.aml.2005.06.007

Authors

+ Farmer, C More by this author

Role:: Author

+ Howison, S More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: Appl. Math. Lett. More from this journal
Volume:: 19
Issue:: 4
Pages:: 356-361
Publication date:: 2006-01-01
DOI:: 10.1016/j.aml.2005.06.007
ISSN:: 0893-9659

Language:: English
Keywords:: porous medium

Hele-Shaw

viscous fingering

Saffman-Taylor instability

unstable flow

Cauchy-Riemann

filament

ill-posed

displacement
Pubs id:: pubs:21739
UUID:: uuid:657feccb-cb70-465b-b753-1b66e921acc6
Local pid:: pubs:21739
Source identifiers:: 21739
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2006

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

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