Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices
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.
1119718356
Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices
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.
54.99 In Stock
Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices

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

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

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

Overview

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.

Product Details

ISBN-13: 9783319069142
Publisher: Springer-Verlag New York, LLC
Publication date: 10/24/2014
Series: Springer Monographs in Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 253
File size: 5 MB

Table of Contents

1 The general principles.- 2 Solitary waves and solitons: abstract theory.- 3 The nonlinear Schrödinger equation.- 4 The nonlinear Klein-Gordon equation.- 5 The Nonlinear Klein-Gordon-Maxwell equations.- 6 The nonlinear Schrödinger-Maxwell equations.- 7 The nonlinear beam equation.- 8 Vortices.- 9 Appendix.
From the B&N Reads Blog
Page 1 of

Related Subjects

Science & Technology
Mathematics
Mathematical Equations
Mathematical Equations - Differential
Science & Technology
Mathematics
Mathematical Equations
Mathematical Equations - Differential

Customer Reviews