Variational Methods in Nonlinear Field Equations Solitary Waves, Hylomorphic Solitons and Vortices /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Benci, Vieri (Autor), Fortunato, Donato (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Springer Monographs in Mathematics,
Temas:
Differential equations.
Mathematical analysis.
Mathematical physics.
Differential Equations.
Analysis.
Mathematical Physics.
Acceso en línea:Texto Completo

MARC

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100 1 |a Benci, Vieri.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Variational Methods in Nonlinear Field Equations  |h [electronic resource] :  |b Solitary Waves, Hylomorphic Solitons and Vortices /  |c by Vieri Benci, Donato Fortunato. 
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264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a XIX, 253 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Springer Monographs in Mathematics,  |x 2196-9922 
505 0 |a 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. 
520 |a 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. 
650 0 |a Differential equations. 
650 0 |a Mathematical analysis. 
650 0 |a Mathematical physics. 
650 1 4 |a Differential Equations. 
650 2 4 |a Analysis. 
650 2 4 |a Mathematical Physics. 
700 1 |a Fortunato, Donato.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319069159 
776 0 8 |i Printed edition:  |z 9783319069135 
776 0 8 |i Printed edition:  |z 9783319361222 
830 0 |a Springer Monographs in Mathematics,  |x 2196-9922 
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912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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