书目名称 | Classical and Stochastic Laplacian Growth |
编辑 | Björn Gustafsson,Razvan Teodorescu,Alexander Vasil |
视频video | http://file.papertrans.cn/228/227175/227175.mp4 |
概述 | Combines features of an in-depth monograph and a highly instructive survey of state-of-the-art techniques and results.Addresses graduate students and researchers in analysis and its applications.Conta |
丛书名称 | Advances in Mathematical Fluid Mechanics |
图书封面 |  |
描述 | .This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoretical physics. Of particular interest are the relations between Laplacian growth and the infinite-size limit of ensembles of random matrices with complex eigenvalues; integrable hierarchies of differential equations and their spectral curves; classical and stochastic Löwner evolution and critical phenomena in two-dimensional statistical models; weak solutions of hyperbolic partial differential equations of singular-perturbation type; and resolution of singularities for compact Riemann surfaces with anti-holomorphic involution. The book also provides an abundance of exact classical solutions, many explicit examples of dynamics by conformal mapping as well as a solid foundation of potential theory. An extensive bibliography covering over twelve decades of results and an introduction rich in historical and biographical details complement the eight main chapters of this monograph.. Given its |
出版日期 | Book 2014 |
关键词 | Laplacian growth model; balayage; free-boundary problems; inverse-moment problem; random matrices; stocha |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-08287-5 |
isbn_softcover | 978-3-319-37639-4 |
isbn_ebook | 978-3-319-08287-5Series ISSN 2297-0320 Series E-ISSN 2297-0339 |
issn_series | 2297-0320 |
copyright | Springer International Publishing Switzerland 2014 |