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The Resource Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices, by Vieri Benci, Donato Fortunato, (electronic resource)

Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices, by Vieri Benci, Donato Fortunato, (electronic resource)

Creator
Author
Contributor
Summary
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation, ..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists
Language
eng
Work
Publication
Extent
XIX, 253 p.
Contents
  • 1 The general principles
  • 2 Solitary waves and solitons: abstract theory
  • 3 The nonlinear Schrödinger equation
  • 4 The nonlinear Klein-Gordon equation
  • 5 The Nonlinear Klein-Gordon-Maxwell equations
  • 6 The nonlinear Schrödinger-Maxwell equations
  • 7 The nonlinear beam equation
  • 8 Vortices
  • 9 Appendix
Isbn
9783319069142
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-06914-2
Instance
Label
Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices
Title
Variational Methods in Nonlinear Field Equations
Title remainder
Solitary Waves, Hylomorphic Solitons and Vortices
Statement of responsibility
by Vieri Benci, Donato Fortunato
Creator
Contributor
Author
Subject
Language
eng
Summary
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation, ..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists
Member of
http://library.link/vocab/creatorName
Benci, Vieri
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Fortunato, Donato.
  • SpringerLink (Online service)
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematical analysis
  • Analysis (Mathematics)
  • Partial differential equations
  • Mathematical physics
Label
Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices, by Vieri Benci, Donato Fortunato, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-06914-2
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 The general principles -- 2 Solitary waves and solitons: abstract theory -- 3 The nonlinear Schrödinger equation -- 4 The nonlinear Klein-Gordon equation -- 5 The Nonlinear Klein-Gordon-Maxwell equations -- 6 The nonlinear Schrödinger-Maxwell equations -- 7 The nonlinear beam equation -- 8 Vortices -- 9 Appendix
Control code
978-3-319-06914-2
Dimensions
unknown
Extent
XIX, 253 p.
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
9783319069142
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-06914-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)894509016
Label
Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices, by Vieri Benci, Donato Fortunato, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-06914-2
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 The general principles -- 2 Solitary waves and solitons: abstract theory -- 3 The nonlinear Schrödinger equation -- 4 The nonlinear Klein-Gordon equation -- 5 The Nonlinear Klein-Gordon-Maxwell equations -- 6 The nonlinear Schrödinger-Maxwell equations -- 7 The nonlinear beam equation -- 8 Vortices -- 9 Appendix
Control code
978-3-319-06914-2
Dimensions
unknown
Extent
XIX, 253 p.
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
9783319069142
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-06914-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)894509016

Subject

Member of

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