The Resource Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices, Vieri Benci, Donato Fortunato
Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices, Vieri Benci, Donato Fortunato
Resource Information
The item Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices, Vieri Benci, Donato Fortunato represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices, Vieri Benci, Donato Fortunato represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Extent
- xvii, 250 pages
- 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
- 9783319069135
- 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
- Vieri Benci, Donato Fortunato
- 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
- Cataloging source
- BTCTA
- http://library.link/vocab/creatorName
- Benci, V.
- Dewey number
- 515/.355
- Index
- no index present
- LC call number
- QA372
- LC item number
- .B43 2014
- Literary form
- non fiction
- Nature of contents
- bibliography
- http://library.link/vocab/relatedWorkOrContributorName
- Fortunato, D.
- Series statement
- Springer monographs in mathematics,
- http://library.link/vocab/subjectName
-
- Differential equations, Nonlinear
- Nonlinear wave equations
- Variational inequalities (Mathematics)
- Differential equations, Nonlinear
- Nonlinear wave equations
- Variational inequalities (Mathematics)
- Label
- Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices, Vieri Benci, Donato Fortunato
- Bibliography note
- Includes bibliographical references (pages 245-250)
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier.
- 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
- 881450047
- Dimensions
- 24 cm
- Extent
- xvii, 250 pages
- Isbn
- 9783319069135
- Lccn
- 2014953275
- Media category
- unmediated
- Media MARC source
- rdamedia.
- Media type code
-
- n
- System control number
- (OCoLC)881450047
- Label
- Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices, Vieri Benci, Donato Fortunato
- Bibliography note
- Includes bibliographical references (pages 245-250)
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier.
- 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
- 881450047
- Dimensions
- 24 cm
- Extent
- xvii, 250 pages
- Isbn
- 9783319069135
- Lccn
- 2014953275
- Media category
- unmediated
- Media MARC source
- rdamedia.
- Media type code
-
- n
- System control number
- (OCoLC)881450047
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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.library.missouri.edu/portal/Variational-methods-in-nonlinear-field-equations/2TcWXG34InY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Variational-methods-in-nonlinear-field-equations/2TcWXG34InY/">Variational methods in nonlinear field equations : solitary waves, hylomorphic solitons and vortices, Vieri Benci, Donato Fortunato</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
