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Laplacian Growth on Branched Riemann Surfaces

Laplacian Growth on Branched Riemann Surfaces

by Bjoern Gustafsson and Yu-Lin Lin
Paperback
Publication Date: 23/03/2021

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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.
ISBN:
9783030698621
9783030698621
Category:
Complex analysis
Format:
Paperback
Publication Date:
23-03-2021
Publisher:
Springer Nature Switzerland AG
Country of origin:
Switzerland
Pages:
156
Dimensions (mm):
235x155mm
Weight:
0.45kg

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