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

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Hardback 253 Pages / Published: 03/11/2014
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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 Schroedinger-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.

Publisher: Springer International Publishing AG
ISBN: 9783319069135
Number of pages: 253
Weight: 5384 g
Dimensions: 235 x 155 x 18 mm


MEDIA REVIEWS

"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. Kaup and Thomas Keith Vogel, Mathematical Reviews, November, 2015)

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