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A class of exactly solvable free-boundary inhomogeneous porous medium flows |
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| Affiliation: | OCIAM, Mathematical Institute, University of Oxford, 24-29 St. Gilles, OX1 3LB, UK |
| 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. |
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