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＜電子ブック＞
Laplacian Growth on Branched Riemann Surfaces / by Björn Gustafsson, Yu-Lin Lin
(Lecture Notes in Mathematics. ISSN:16179692 ; 2287)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
本文言語	英語
大きさ	XII, 156 p. 13 illus., 12 illus. in color : online resource
著者標目	*Gustafsson, Björn author Lin, Yu-Lin author SpringerLink (Online service)
件　名	LCSH:Functions of complex variables LCSH:Differential equations LCSH:Potential theory (Mathematics) LCSH:Mathematical physics LCSH:Soft condensed matter FREE:Functions of a Complex Variable FREE:Differential Equations FREE:Potential Theory FREE:Mathematical Methods in Physics FREE:Fluids
一般注記	This book studies solutions of the Polubarinova–Galin and Löwner–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 HTTP:URL=https://doi.org/10.1007/978-3-030-69863-8

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