书目名称 | Laplacian Growth on Branched Riemann Surfaces | 编辑 | Björn Gustafsson,Yu-Lin Lin | 视频video | | 概述 | Explores unsolved problems and new directions related to domain evolutions on Riemann surfaces.Presents potentially fruitful ideas around the ill-posed suction problem.Gives elementary, but intriguing | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2021 | 关键词 | Branched Riemann Surface; Computational Fluid Dynamics; Conformal Analysis; Fluid Flow; Function Theory; | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-69863-8 | isbn_softcover | 978-3-030-69862-1 | isbn_ebook | 978-3-030-69863-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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