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Laplacian growth on branched Riemann...

Gustafsson, Bjorn.

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Laplacian growth on branched Riemann surfaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Laplacian growth on branched Riemann surfaces/ by Bjorn Gustafsson, Yu-Lin Lin.
作者:	Gustafsson, Bjorn.
其他作者:	Lin, Yu-Lin.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xii, 156 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Fluid dynamics. -
電子資源:	https://doi.org/10.1007/978-3-030-69863-8
ISBN:	9783030698638

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 ;v.2287..

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

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

545210
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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