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EBOOK
Author Gustafsson, Björn, 1947-
Title Laplacian growth on branched Riemann surfaces / Bjorn Gustafsson, Yu-Lin Lin.
Imprint Cham, Switzerland : Springer, [2021]

LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
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Author Gustafsson, Björn, 1947-
Series Lecture notes in mathematics, 0075-8434 ; volume 2287
Lecture notes in mathematics (Springer-Verlag) ; 2287. 0075-8434
Subject Fluid dynamics.
Geometric function theory.
Alt Name Lin, Yizhong, 1955-
LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Author Gustafsson, Björn, 1947-
Series Lecture notes in mathematics, 0075-8434 ; volume 2287
Lecture notes in mathematics (Springer-Verlag) ; 2287. 0075-8434
Subject Fluid dynamics.
Geometric function theory.
Alt Name Lin, Yizhong, 1955-
Description 1 online resource.
Summary 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.
Contents Introduction -- The Polubarinova-Galin and Lowner-Kufarev Equations -- Weak Solutions and Balayage -- Weak and Strong Solutions on Riemann Surfaces -- Global Simply Connected Weak Solutions -- General Structure of Rational Solutions -- Examples -- Moment Coordinates and the String Equation -- Hamiltonian Descriptions of General Laplacian Evolutions -- The String Equation for Some Rational Functions.
Bibliography Note Includes bibliographical references and index.
Note Online resource; title from PDF title page (SpringerLink, viewed April 14, 2021).
ISBN 9783030698638 (electronic bk.)
3030698637 (electronic bk.)
9783030698621
3030698629
ISBN/ISSN 10.1007/978-3-030-69863-8
OCLC # 1243263853
Additional Format Print version: 9783030698621 (OCoLC)1232272283


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