| 書目名稱 | Mean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model | | 編輯 | Takashi Suzuki | | 視頻video | http://file.papertrans.cn/628/627984/627984.mp4 | | 概述 | Clarifying common mathematical structures used in wide area of sciences; physics, chemistry, biology.Striking mathematical phenomena emerged from these structures, recognized only by these new points | | 叢書名稱 | Atlantis Studies in Mathematics for Engineering and Science | | 圖書封面 |  | | 描述 | Mean field approximation has been adopted to describe macroscopic phenomena from microscopic overviews. It is still in progress; fluid mechanics, gauge theory, plasma physics, quantum chemistry, mathematical oncology, non-equilibirum thermodynamics. ?spite of such a wide range of scientific areas that are concerned with the mean field theory, a unified study of its mathematical structure has not been discussed explicitly in the open literature. ?The benefit of this point of view on nonlinear problems should have significant impact on future research, as will be seen from the underlying features of self-assembly or bottom-up self-organization which is to be illustrated in a unified way. The aim of this book is to formulate the variational and hierarchical aspects of the equations that arise in the mean field theory from macroscopic profiles to microscopic principles, from dynamics to equilibrium, and from biological models to models that arise from chemistry and physics. | | 出版日期 | Book 2015Latest edition | | 關(guān)鍵詞 | Nonlinear Partial Differential Equations; Chemotaxis; Variational Structure; Non-equilibrium Thermodyna | | 版次 | 2 | | doi | https://doi.org/10.2991/978-94-6239-154-3 | | isbn_ebook | 978-94-6239-154-3Series ISSN 1875-7642 Series E-ISSN 2467-9631 | | issn_series | 1875-7642 | | copyright | Atlantis Press and the author(s) 2015 |
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