Classical and Stochastic Laplacian Growth (Paperback, Softcover reprint of the original 1st ed. 2014)

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 Loewner 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 systematic and consistent notation and background results, this book provides a self-contained resource. It is accessible to a wide readership, from beginner graduate students to researchers from various fields in natural sciences and mathematics.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Advances in Mathematical Fluid Mechanics
Release date:	September 2016
First published:	2014
Authors:	Bjoern Gustafsson • Razvan Teodorescu • Alexander Vasil'ev
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	317
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-3-319-37639-4
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-319-37639-X
Barcode:	9783319376394

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