Laplacian Growth on Branched Riemann Surfaces (Paperback, 1st ed. 2021)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2287
Release date:	March 2021
First published:	2021
Authors:	Bjoern Gustafsson • Yu-Lin Lin
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Paperback
Pages:	156
Edition:	1st ed. 2021
ISBN-13:	978-3-03-069862-1
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics Books > Professional & Technical > Mechanical engineering & materials > Materials science > General
LSN:	3-03-069862-9
Barcode:	9783030698621

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