Książka Variational Methods in Nonlinear Field Equations Donato Fortunato

Variational Methods in Nonlinear Field Equations

Solitary Waves, Hylomorphic Solitons and Vortices

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
214.83
The book analyzes the existence of solitons, namely of finite energy solutions of field equations wh...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2014
strony
253
EAN
9783319069135
ISBN
3319069136
Enbook ID
02644841
Waga
562
Wymiary
171 x 248 x 19

Pełny opis

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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