Variational Methods in Nonlinear Field Equations / Springer Monographs in Mathematics (PDF)
Solitary Waves, Hylomorphic Solitons and Vortices
(Sprache: Englisch)
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...
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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 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.
Bibliographische Angaben
- Autoren: Vieri Benci , Donato Fortunato
- 2014, 2014, 253 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319069144
- ISBN-13: 9783319069142
- Erscheinungsdatum: 24.10.2014
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- Dateiformat: PDF
- Grösse: 2.33 MB
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Sprache:
Englisch
Pressezitat
“This book is a useful, enlightening, and thought-provokingexposition of the research and findings over the last 35 years of using andimplementing variational techniques to better understand the dynamics ofnonlinear field equations. These reviewers would highly recommend this text beon the shelf of any applied mathematician/physicist who uses variationaltechniques to analyze nonlinear field equations.” (David J. Kaup and ThomasKeith Vogel, Mathematical Reviews, November, 2015)
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