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Laplacian growth on branched Riemann...

Gustafsson, Bjorn.

Laplacian growth on branched Riemann surfaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Laplacian growth on branched Riemann surfacesby Bjorn Gustafsson, Yu-Lin Lin.
Author:	Gustafsson, Bjorn.
other author:	Lin, Yu-Lin.
Published:	Cham :Springer International Publishing :2021.
Description:	xii, 156 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fluid dynamics.
Online resource:	https://doi.org/10.1007/978-3-030-69863-8
ISBN:	9783030698638$q(electronic bk.)

Laplacian growth on branched Riemann surfaces
Gustafsson, Bjorn.

Laplacian growth on branched Riemann surfaces[electronic resource] /by Bjorn Gustafsson, Yu-Lin Lin. - Cham :Springer International Publishing :2021. - xii, 156 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22870075-8434 ;. - Lecture notes in mathematics ;2035..

This book studies solutions of the Polubarinova-Galin and Lowner-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: 9783030698638$q(electronic bk.)

Standard No.: 10.1007/978-3-030-69863-8doiSubjects--Topical Terms:

186085
Fluid dynamics.

LC Class. No.: QA911 / .G878 2021

Dewey Class. No.: 532.053

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520 $a This book studies solutions of the Polubarinova-Galin and Lowner-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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