Coverart for item
The Resource Classical and stochastic Laplacian growth, Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic book)

Classical and stochastic Laplacian growth, Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic book)

Label
Classical and stochastic Laplacian growth
Title
Classical and stochastic Laplacian growth
Statement of responsibility
Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev
Creator
Contributor
Author
Subject
Language
eng
Summary
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 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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorDate
1947-
http://library.link/vocab/creatorName
Gustafsson, Björn
Dewey number
620.1/06
Illustrations
illustrations
Index
index present
LC call number
TA357
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1962-
http://library.link/vocab/relatedWorkOrContributorName
  • Teodorescu, Razvan
  • Vasilʹev, Alexander
Series statement
Advances in Mathematical Fluid Mechanics,
http://library.link/vocab/subjectName
  • Fluid dynamics
  • Mathematical physics
Label
Classical and stochastic Laplacian growth, Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
1 Introduction and Background -- 2 Rational and Other Explicit Strong Solutions -- 3 Weak Solutions and Related Topics -- 4 Geometric Properties -- 5 Capacities and Isoperimetric Inequalities -- 6 Laplacian Growth and Random Matrix Theory -- 7 Integrability and Moments -- 8 Shape Evolution and Integrability -- 9 Stochastic Löwner and Löwner-Kufarev Evolution -- References -- List of Symbols -- Index
Control code
SPR895661026
Dimensions
unknown
Extent
1 online resource (xiv, 317 pages)
File format
unknown
Form of item
online
Isbn
9783319082868
Level of compression
unknown
Other control number
10.1007/978-3-319-08287-5
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Classical and stochastic Laplacian growth, Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
1 Introduction and Background -- 2 Rational and Other Explicit Strong Solutions -- 3 Weak Solutions and Related Topics -- 4 Geometric Properties -- 5 Capacities and Isoperimetric Inequalities -- 6 Laplacian Growth and Random Matrix Theory -- 7 Integrability and Moments -- 8 Shape Evolution and Integrability -- 9 Stochastic Löwner and Löwner-Kufarev Evolution -- References -- List of Symbols -- Index
Control code
SPR895661026
Dimensions
unknown
Extent
1 online resource (xiv, 317 pages)
File format
unknown
Form of item
online
Isbn
9783319082868
Level of compression
unknown
Other control number
10.1007/978-3-319-08287-5
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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