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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Variational Methods in Nonlinear Field Equations - Solitary Waves, Hylomorphic Solitons and Vortices (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R2,293
Discovery Miles 22 930
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Variational Methods in Nonlinear Field Equations - Solitary Waves, Hylomorphic Solitons and Vortices (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Springer Monographs in Mathematics
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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.
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