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From the Hele-Shaw Experiment to Integrable Systems: A Historical Overview

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Abstract.

This paper is a historical overview of the development of the topic now commonly known as Laplacian Growth, from the original Hele-Shaw experiment to the modern treatment based on integrable systems.

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Authors and Affiliations

  1. Department of Mathematics, University of Bergen, Johannes Brunsgate 12, N-5008, Bergen, Norway

    Alexander Vasil’ev

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  1. Alexander Vasil’ev
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Correspondence to Alexander Vasil’ev.

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To Björn Gustafsson on the occasion of his 60-th birthday.

Supported by the grant of the Norwegian Research Council #177355/V30, and by the European Science Foundation Research Networking Programme HCAA.

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Vasil’ev, A. From the Hele-Shaw Experiment to Integrable Systems: A Historical Overview. Complex Anal. Oper. Theory 3, 551–585 (2009). https://doi.org/10.1007/s11785-008-0104-8

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  • DOI: https://doi.org/10.1007/s11785-008-0104-8

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