The Mathematical Institute, University of Oxford, Eprints Archive

A class of exactly solvable free-boundary inhomogeneous porous medium flows

Howison, S. D. and Loutsenko, I. and Ockendon, J. R. (2006) A class of exactly solvable free-boundary inhomogeneous porous medium flows. Applied Mathematics Letters . (In Press)

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Abstract

We describe a class of inhomogeneous two-dimensional porous medium flows, driven by a finite number of multipole sources; the free boundary dynamics can be parametrized by polynomial conformal maps.

Item Type:Article
Uncontrolled Keywords:Inhomogeneous porous medium flow, Hele-Shaw flow, moments.
Subjects:O - Z > Partial differential equations
D - G > Fluid mechanics
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:219
Deposited By:Sam Howison
Deposited On:24 Mar 2006
Last Modified:20 Jul 2009 14:19

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