Laplacian growth on branched Riemann surfaces
Author(s)
Bibliographic Information
Laplacian growth on branched Riemann surfaces
（Lecture notes in mathematics, 2287）
Springer, c2021
Available at 29 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2287200041759917
Note
Includes bibliographical references (p. 147-152) and index
Description and Table of Contents
Description
This book studies solutions of the Polubarinova-Galin and Loewner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural changes in the data of the solution, for example new zeros and poles in the case of rational maps.
This topic intersects with several areas, including mathematical physics, potential theory and complex analysis. The text will be valuable to researchers and doctoral students interested in fluid dynamics, integrable systems, and conformal field theory.
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