Title of article
Non-Laplacian growth: Exact results
Author/Authors
Loutsenko، نويسنده , , Igor and Yermolayeva، نويسنده , , Oksana، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
6
From page
56
To page
61
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.
Keywords
Free-boundary problems , Quantum Calogero–Moser systems , Laplacian growth
Journal title
Physica D Nonlinear Phenomena
Serial Year
2007
Journal title
Physica D Nonlinear Phenomena
Record number
1726466
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