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Title of article :
The motion of a viscous filament in a porous medium or Hele–Shaw cell: a physical realisation of the Cauchy–Riemann equations Original Research Article
Author/Authors :
C.L. Farmer، نويسنده , , S.D. Howison، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Pages :
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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.
Keywords :
Viscous fingering , Hele–Shaw , Unstable flow , Saffman–Taylor instability , Porous medium , Ill-posed , Filament , Displacement , Cauchy–Riemann
Journal title :
Applied Mathematics Letters
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Link To Document :