Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics) - Softcover

Buch 126 von 187: Springer Monographs in Mathematics

Benci, Vieri; Fortunato, Donato

 
9783319361222: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)
Softcover
ISBN 10: 3319361228 ISBN 13: 9783319361222
Verlag: Springer, 2016

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319361228
ISBN 13 
9783319361222
Einband
Taschenbuch
Anzahl der Seiten
276
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9783319069135: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3319069136 ISBN 13:  9783319069135
Verlag: Springer, 2014
Hardcover