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Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics) - Tapa dura

Libro 123 de 184: Springer Monographs in Mathematics

Fortunato, Donato; Benci, Vieri

 
9783319069135: Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)
Tapa dura
ISBN 10: 3319069136 ISBN 13: 9783319069135
Editorial: Springer, 2014

Sinopsis

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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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
3319069136
ISBN 13 
9783319069135
Encuadernación
Tapa dura
Número de páginas
276
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