Description: Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices, Paperback by Benci, Vieri; Fortunato, Donato, ISBN 3319361228, ISBN-13 9783319361222, Like New Used, Free shipping in the US Th analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. Th 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. Ths is addressed to Mathematicians and Physicists.
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Book Title: Variational Methods in Nonlinear Field Equations : Solitary Waves
Number of Pages: Xix, 253 Pages
Language: English
Publication Name: Variational Methods in Nonlinear Field Equations : Solitary Waves, Hylomorphic Solitons and Vortices
Publisher: Springer International Publishing A&G
Publication Year: 2016
Item Height: 0.6 in
Subject: Differential Equations / General, Physics / Mathematical & Computational, Mathematical Analysis
Type: Textbook
Item Weight: 148.8 Oz
Item Length: 9.2 in
Author: Donato Fortunato, Vieri Benci
Subject Area: Mathematics, Science
Series: Springer Monographs in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback