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)
Resource Information
The item Classical and stochastic Laplacian growth, Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Classical and stochastic Laplacian growth, Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xiv, 317 pages)
- 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
- Isbn
- 9783319082868
- Label
- Classical and stochastic Laplacian growth
- Title
- Classical and stochastic Laplacian growth
- Statement of responsibility
- Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev
- 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
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Classical-and-stochastic-Laplacian-growth-Bj%C3%B6rn/jfcgmmSdo3c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Classical-and-stochastic-Laplacian-growth-Bj%C3%B6rn/jfcgmmSdo3c/">Classical and stochastic Laplacian growth, Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
