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

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

Taispeáin leaganacha eile (1)

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.

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí:	Farmer, C, Howison, S
Formáid:	Journal article
Foilsithe / Cruthaithe:	2005

Míreanna comhchosúla

The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann equations.
de réir: Farmer, C, et al.
Foilsithe / Cruthaithe: (2006)

BUBBLE-GROWTH IN POROUS-MEDIA AND HELE-SHAW CELLS
de réir: Howison, S
Foilsithe / Cruthaithe: (1986)

FINGERING IN HELE-SHAW CELLS
de réir: Howison, S
Foilsithe / Cruthaithe: (1986)

A note on the two-phase Hele-Shaw problem
de réir: Howison, S
Foilsithe / Cruthaithe: (2000)

COMPUTATION OF HELE-SHAW FLOWS WITH FREE BOUNDARIES
de réir: Aitchison, J, et al.
Foilsithe / Cruthaithe: (1985)

Hele-Shaw flows and related problems - Editorial
de réir: Howison, S, et al.
Foilsithe / Cruthaithe: (1999)

CUSP DEVELOPMENT IN HELE-SHAW FLOW WITH A FREE-SURFACE
de réir: Howison, S
Foilsithe / Cruthaithe: (1986)

HELE-SHAW FREE-BOUNDARY PROBLEMS WITH SUCTION
de réir: Howison, S, et al.
Foilsithe / Cruthaithe: (1988)

Kochina and Hele-Shaw in modern mathematics, science and industry
de réir: Ockendon, JR, et al.
Foilsithe / Cruthaithe: (2002)

Effect of Hele–Shaw cell gap on radial viscous fingering
de réir: Sada Nand, et al.
Foilsithe / Cruthaithe: (2022-11-01)

Compression-driven viscous fingering in a radial Hele-Shaw cell
de réir: Cuttle, C, et al.
Foilsithe / Cruthaithe: (2023)

Trapping and escape of viscous fingers in a soft Hele-Shaw cell
de réir: Peng, GG, et al.
Foilsithe / Cruthaithe: (2022)

Kochina and Hele-Shaw in modern mathematics, natural science and industry
de réir: Ockendon, J, et al.
Foilsithe / Cruthaithe: (2002)

Circular bubbles in a Hele-Shaw channel: a Hele-Shaw Newton's cradle
de réir: Booth, DJ, et al.
Foilsithe / Cruthaithe: (2023)

Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects.
de réir: Gadêlha, H, et al.
Foilsithe / Cruthaithe: (2007)

Dynamics of viscous fingers in rotating Hele-Shaw cells with Coriolis effects
de réir: Gadêlha, H, et al.
Foilsithe / Cruthaithe: (2007)

A MODEL FOR NONSMOOTH FREE BOUNDARIES IN HELE-SHAW FLOWS
de réir: Hohlov, Y, et al.
Foilsithe / Cruthaithe: (1994)

Two-dimensional Stokes and Hele-Shaw flows with free surfaces
de réir: Cummings, L, et al.
Foilsithe / Cruthaithe: (1999)

Radial viscous fingering in miscible Hele-Shaw flows: A numerical study
de réir: Chen, C, et al.
Foilsithe / Cruthaithe: (2008)

Radial viscous fingering in miscible Hele-Shaw flows: a numerical study.
de réir: Chen, C, et al.
Foilsithe / Cruthaithe: (2008)

Motion and deformation of a bubble in a Hele-Shaw cell
de réir: Wu, K, et al.
Foilsithe / Cruthaithe: (2024)

IRREGULAR MORPHOLOGIES IN UNSTABLE HELE-SHAW FREE-BOUNDARY PROBLEMS
de réir: Lacey, A, et al.
Foilsithe / Cruthaithe: (1990)

Inertia Effects in the Dynamics of Viscous Fingering of Miscible Fluids in Porous Media: Circular Hele-Shaw Cell Configuration
de réir: Hamid Ait Abderrahmane, et al.
Foilsithe / Cruthaithe: (2021-10-01)

Thermal convection instability of two miscible viscous fluids in a Hele-Shaw cell
de réir: Echchadli M.
Foilsithe / Cruthaithe: (2019-01-01)

The motion of a bubble in a non-uniform Hele-Shaw flow
de réir: Booth, DJ, et al.
Foilsithe / Cruthaithe: (2025)

ON THE CLASSIFICATION OF SOLUTIONS TO THE ZERO-SURFACE-TENSION MODEL FOR HELE-SHAW FREE-BOUNDARY FLOWS
de réir: Hohlov, Y, et al.
Foilsithe / Cruthaithe: (1993)

Viscous Fingering Dynamics and Flow Regimes of Miscible Displacements in a Sealed Hele-Shaw Cell
de réir: Baizheng An, et al.
Foilsithe / Cruthaithe: (2022-08-01)

Convex dynamics in Hele-Shaw cells
de réir: Dmitri Prokhorov, et al.
Foilsithe / Cruthaithe: (2002-01-01)

Two-phase displacement in Hele Shaw : theory /
de réir: 362994 Park, C. W., et al.

Synchronization between two Hele-Shaw Cells
de réir: A. Bernardini, et al.
Foilsithe / Cruthaithe: (2004-06-01)

Hele-shaw analog to potential flows [filem gelung]
Foilsithe / Cruthaithe: ([n.d)

Finger competition dynamics in rotating Hele-Shaw cells
de réir: Gadêlha, H, et al.
Foilsithe / Cruthaithe: (2004)

Finger competition dynamics in rotating Hele-Shaw cells
de réir: Gadêlha, H, et al.
Foilsithe / Cruthaithe: (2004)

Finger competition dynamics in rotating Hele-Shaw cells.
de réir: Gadêlha, H, et al.
Foilsithe / Cruthaithe: (2004)

Premixed combustion of coconut oil in a hele-shaw cell
de réir: Hadi Saroso, et al.
Foilsithe / Cruthaithe: (2014-10-01)

Prediction of Instability for Miscible Displacements in a Hele-Shaw Cell Prévision de l'instabilité pour des déplacements miscibles dans une cellule Hele-Shaw
de réir: Coskuner G., et al.
Foilsithe / Cruthaithe: (2006-11-01)

Modeling of a Fluid with Pressure-Dependent Viscosity in Hele-Shaw Flow
de réir: Benedetta Calusi, et al.
Foilsithe / Cruthaithe: (2024-10-01)

A Special Class of Univalent Functions in Hele-Shaw Flow Problems
de réir: Paula Curt, et al.
Foilsithe / Cruthaithe: (2011-01-01)

Interfacial instability in a time-periodic rotating Hele-Shaw Cell
de réir: Bouchgl J., et al.
Foilsithe / Cruthaithe: (2014-01-01)

Global existence and decay for solutions of the Hele-Shaw flow with injection
de réir: Cheng, C, et al.
Foilsithe / Cruthaithe: (2012)