Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices
Book Details
Format
Hardback or Cased Book
Book Series
Springer Monographs in Mathematics
ISBN-10
3319069136
ISBN-13
9783319069135
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
CH
Country of Publication
GB
Publication Date
Nov 3rd, 2014
Print length
253 Pages
Weight
568 grams
Dimensions
24.80 x 17.10 x 1.90 cms
Ksh 8,100.00
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The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties.
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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