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

Vieri Benci (u. a.)

ISBN 10: 3319361228 / ISBN 13: 9783319361222

Published by Springer, 2016

About this Item

Variational Methods in Nonlinear Field Equations | Solitary Waves, Hylomorphic Solitons and Vortices | Vieri Benci (u. a.) | Taschenbuch | Springer Monographs in Mathematics | xix | Englisch | 2016 | Springer | EAN 9783319361222 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 103434504

Bibliographic Details

• Title: Variational Methods in Nonlinear Field Equations | Solitary Waves, Hylomorphic Solitons and Vortices
• Publisher: Springer
• Publication Date: 2016
• Language: English
• ISBN 10: 3319361228
• ISBN 13: 9783319361222
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 16D millimeters 235 millimeters width by 155 millimeters height by 16 millimeters depth
• Weight: 423 grams
• Seller catalogs:
  • Bücher

About this title

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.