Laplacian growth on branched Riemann surfaces [electronic resource]
- 作者： Gustafsson, Bjorn.
- 其他作者：
- 其他題名：
- Lecture notes in mathematics ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Lecture notes in mathematics,v.2287
- 主題： Fluid dynamics. , Geometric function theory. , Functions of a Complex Variable. , Analysis. , Potential Theory. , Mathematical Methods in Physics. , Materials Science, general.
- ISBN： 9783030698638 (electronic bk.) 、 9783030698621 (paper)
-
FIND@SFXID:
CGU
- 資料類型: 電子書
- 摘要註: 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.
-
讀者標籤：
- 系統號： 005534785 | 機讀編目格式
館藏資訊
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.