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.
| ISBN: | 9783030698621 |
| Publication date: | 23rd March 2021 |
| Author: | Björn Gustafsson, YuLin Lin |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Paperback |
| Pagination: | 156 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Complex analysis, complex variables Differential calculus and equations Engineering: Mechanics of fluids Calculus and mathematical analysis Mathematical physics |
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.
Laplacian Growth on Branched Riemann Surfaces features in the following genres: Complex analysis, complex variables, Differential calculus and equations, Engineering: Mechanics of fluids, Calculus and mathematical analysis, Mathematical physics
Paperback. £49.49, down from the £54.99 cover price. Not Available.
Laplacian Growth on Branched Riemann Surfaces was written by Björn Gustafsson, YuLin Lin and published by Springer an imprint of Springer International Publishing
Laplacian Growth on Branched Riemann Surfaces has 156 pages
Yes it is part of Lecture Notes in Mathematics series
£49.49, reduced from £54.99. Not Available.