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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