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Variational Methods in Nonlinear Field Equations - Solitary Waves, Hylomorphic Solitons and Vortices (Hardcover, 2014): Vieri... Variational Methods in Nonlinear Field Equations - Solitary Waves, Hylomorphic Solitons and Vortices (Hardcover, 2014)
Vieri Benci, Donato Fortunato
R2,805 R1,910 Discovery Miles 19 100 Save R895 (32%) Ships in 12 - 17 working days

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.

Variational Methods in Nonlinear Field Equations - Solitary Waves, Hylomorphic Solitons and Vortices (Paperback, Softcover... Variational Methods in Nonlinear Field Equations - Solitary Waves, Hylomorphic Solitons and Vortices (Paperback, Softcover reprint of the original 1st ed. 2014)
Vieri Benci, Donato Fortunato
R2,209 Discovery Miles 22 090 Ships in 10 - 15 working days

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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