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

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.

Detaylı Bibliyografya
Asıl Yazarlar: Farmer, C, Howison, S
Materyal Türü: Journal article
Baskı/Yayın Bilgisi: 2005
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author Farmer, C
Howison, S
author_facet Farmer, C
Howison, S
author_sort Farmer, C
collection OXFORD
description 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.
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spelling oxford-uuid:7e1bb7fc-b627-4894-b2d8-a8c9ee7c01ce2022-03-26T21:08:10ZThe motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann EquationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7e1bb7fc-b627-4894-b2d8-a8c9ee7c01ceMathematical Institute - ePrints2005Farmer, CHowison, SWe 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.
spellingShingle Farmer, C
Howison, S
The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations
title The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations
title_full The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations
title_fullStr The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations
title_full_unstemmed The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations
title_short The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations
title_sort motion of a viscous filament in a porous medium or hele shaw cell a physical realisation of the cauchy riemann equations
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