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

Livre 123 sur 184: Springer Monographs in Mathematics

Benci, Vieri; Fortunato, Donato

 
9783319361222: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices
Couverture souple
ISBN 10 : 3319361228 ISBN 13 : 9783319361222
Editeur : Springer, 2016

Synopsis

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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Éditeur
Springer
Date d'édition
2016
Langue
anglais
ISBN 10 
3319361228
ISBN 13 
9783319361222
Reliure
Broché
Nombre de pages
276
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Autres éditions populaires du même titre

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

Edition présentée

ISBN 10 :  3319069136 ISBN 13 :  9783319069135
Editeur : Springer International Publishin..., 2014
Couverture rigide