Laplacian networks: Growth, local symmetry, and shape optimization

Inspired by river networks and other structures formed by Laplacian growth, we use the Loewner equation to investigate the growth of a network of thin fingers in a diffusion field. We first review previous contributions to illustrate how this formalism reduces the network's expansion to three r...

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Bibliographic Details
Main Authors: Devauchelle, O., Szymczak, P., Pecelerowicz, M., Seybold, H. J., Cohen, Yosef, Rothman, Daniel H.
Other Authors: Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/107752
https://orcid.org/0000-0002-7997-0119
https://orcid.org/0000-0003-4006-7771