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Titlebook: Variational Methods in Nonlinear Field Equations; Solitary Waves, Hylo Vieri Benci,Donato Fortunato Book 2014 Springer International Publis

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書目名稱Variational Methods in Nonlinear Field Equations
副標(biāo)題Solitary Waves, Hylo
編輯Vieri Benci,Donato Fortunato
視頻videohttp://file.papertrans.cn/981/980598/980598.mp4
概述Provides existence and stability results for solitary waves, solitons and vortices in variational nonlinear PDE’s.Theory sufficiently general and flexible to be applied to many other situations.Applic
叢書名稱Springer Monographs in Mathematics
圖書封面Titlebook: Variational Methods in Nonlinear Field Equations; Solitary Waves, Hylo Vieri Benci,Donato Fortunato Book 2014 Springer International Publis
描述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 Schr?dinger-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.
出版日期Book 2014
關(guān)鍵詞Solitons; Symmetry; Variational; Vortices; partial differential equations
版次1
doihttps://doi.org/10.1007/978-3-319-06914-2
isbn_softcover978-3-319-36122-2
isbn_ebook978-3-319-06914-2Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer International Publishing Switzerland 2014
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,The Nonlinear Schr?dinger Equation,This chapter deals with the Nonlinear Schr?dinger Equation (NS). After having analyzed the general features of NS, we apply the abstract theory of Chap. 2 and we prove the existence of hylomorphic solitons. In the last part of this chapter, we analyze the dynamics of such solitons.
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Springer Monographs in Mathematicshttp://image.papertrans.cn/v/image/980598.jpg
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https://doi.org/10.1007/978-3-319-06914-2Solitons; Symmetry; Variational; Vortices; partial differential equations
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