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Laplacian Growth on Branched Riemann Surfaces

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Laplacian Growth on Branched Riemann Surfaces - Gustafsson, Björn, and Lin, Yu-Lin
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This book studies solutions of the Polubarinova-Galin and L???wner-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 ...

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Laplacian Growth on Branched Riemann Surfaces 2021, Springer, Cham

ISBN-13: 9783030698621

2021 edition

Trade paperback