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Titlebook: Classical and Stochastic Laplacian Growth; Bj?rn Gustafsson,Razvan Teodorescu,Alexander Vasil Book 2014 Springer International Publishing

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書目名稱Classical and Stochastic Laplacian Growth
編輯Bj?rn Gustafsson,Razvan Teodorescu,Alexander Vasil
視頻videohttp://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
叢書名稱Advances in Mathematical Fluid Mechanics
圖書封面Titlebook: Classical and Stochastic Laplacian Growth;  Bj?rn Gustafsson,Razvan Teodorescu,Alexander Vasil Book 2014 Springer International Publishing
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 L?wner 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
關鍵詞Laplacian growth model; balayage; free-boundary problems; inverse-moment problem; random matrices; stocha
版次1
doihttps://doi.org/10.1007/978-3-319-08287-5
isbn_softcover978-3-319-37639-4
isbn_ebook978-3-319-08287-5Series ISSN 2297-0320 Series E-ISSN 2297-0339
issn_series 2297-0320
copyrightSpringer International Publishing Switzerland 2014
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Advances in Mathematical Fluid Mechanicshttp://image.papertrans.cn/c/image/227175.jpg
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Weak Solutions and Related Topics,s devoted to ., more precisely variational inequality weak solutions, which are closely related to potential theory (they can be viewed as instances of partial balayage) and also to quadrature domains and related topics.
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Geometric Properties,pretations are considered. In particular, we ask the following question: which geometrical properties are preserved during the time evolution of the moving boundary? We also discuss the geometry of weak solutions.
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Capacities and Isoperimetric Inequalities,side by the (straight) Mediterranean coast and agreed to pay a fixed sum for as much land as could be enclosed by a bull’s hide. Both statements can be expressed in a more algebraic form which indeed underlines the fact that they are equivalent.
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Xede: Practical Exploit Early Detectionith the classical ones of Polubarinova-Kochina [438], [439], Galin [199] and Saffman, Taylor [488], [489]. Some properties of polynomial and rational solutions will be discussed, and it will be proved that the property of the conformal map to the fluid domain of being a polynomial or a rational func
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Lecture Notes in Computer Sciences devoted to ., more precisely variational inequality weak solutions, which are closely related to potential theory (they can be viewed as instances of partial balayage) and also to quadrature domains and related topics.
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