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Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)
Benci, Vieri, Fortunato, Donato
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Description for Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)
Hardcover. Variational Methods in Nonlinear Field Equations Series: Springer Monographs in Mathematics. Num Pages: 272 pages, biography. BIC Classification: PBK; PHU. Category: (P) Professional & Vocational. Dimension: 248 x 171 x 19. Weight in Grams: 562.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2014
Publisher
Springer
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
253
Place of Publication
Cham, Switzerland
ISBN
9783319069135
SKU
V9783319069135
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Variational Methods in Nonlinear Field Equations: Solitary Waves, Hylomorphic Solitons and Vortices (Springer Monographs in Mathematics)
“This book is a useful, enlightening, and thought-provoking exposition of the research and findings over the last 35 years of using and implementing variational techniques to better understand the dynamics of nonlinear field equations. These reviewers would highly recommend this text be on the shelf of any applied mathematician/physicist who uses variational techniques to analyze nonlinear field equations.” (David J. ... Read more