Coverart for item
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

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
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
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
Instantiates
Publication
Copyright
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
Publication
Copyright
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

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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