| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1898091 | Physica D: Nonlinear Phenomena | 2007 | 6 Pages |
Abstract
We study integrable generalizations of the Laplacian growth, describing flows in inhomogeneous porous media. The boundary is driven by a field satisfying an elliptic PDE, that is not generally reduced to a Beltrami–Laplace equation (“Non-Laplacian” growth). These turn out to be PDEs of the Calogero–Moser type, related to finite reflection groups as well as their integrable deformations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Igor Loutsenko, Oksana Yermolayeva,