Coverart for item
The Resource Classical and Stochastic Laplacian Growth, by Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic resource)

Classical and Stochastic Laplacian Growth, by Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic resource)

Label
Classical and Stochastic Laplacian Growth
Title
Classical and Stochastic Laplacian Growth
Statement of responsibility
by 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
Assigning source
Provided by Publisher
http://library.link/vocab/creatorName
Gustafsson, Björn
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Teodorescu, Razvan.
  • Vasil'ev, Alexander.
  • SpringerLink (Online service)
Series statement
Advances in Mathematical Fluid Mechanics,
http://library.link/vocab/subjectName
  • Mathematics
  • Functions of complex variables
  • Numerical analysis
  • Mathematical physics
Label
Classical and Stochastic Laplacian Growth, by Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-08287-5
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
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
978-3-319-08287-5
Dimensions
unknown
Extent
XIV, 317 pages : 52 illustrations : 13 illustrations in color ;
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319082875
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-08287-5
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1022039327
Label
Classical and Stochastic Laplacian Growth, by Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-08287-5
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
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
978-3-319-08287-5
Dimensions
unknown
Extent
XIV, 317 pages : 52 illustrations : 13 illustrations in color ;
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319082875
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-08287-5
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1022039327

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