Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices - Brossura

Libro 123 di 184: Springer Monographs in Mathematics

Benci, Vieri; Fortunato, Donato

 
9783319361222: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices
Brossura
ISBN 10: 3319361228 ISBN 13: 9783319361222
Casa editrice: Springer, 2016

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2016
Lingua
Inglese
ISBN 10 
3319361228
ISBN 13 
9783319361222
Rilegatura
Copertina flessibile
Numero di pagine
276
Contatto del produttore
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Germania

Altre edizioni note dello stesso titolo

9783319069135: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices

Edizione in evidenza

ISBN 10:  3319069136 ISBN 13:  9783319069135
Casa editrice: Springer Nature, 2014
Rilegato