Fingered growth in channel geometry: A Loewner-equation approach

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Fingered growth in channel geometry: a Loewner-equation approach.

A simple model of Laplacian growth is considered, in which the growth takes place only at the tips of long, thin fingers. Following Carleson and Makarov [L. Carleson and N. Makarov, J. Anal. Math. 87, 103 (2002)], the evolution of the fingers is studied with use of the deterministic Loewner equation. The method is then extended to study the growth in a linear channel with reflecting sidewalls. ...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2008

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.77.041602