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Mean field theories and dual variation - mathematical structures of the Mesoscopic model[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515
書名/作者:	Mean field theories and dual variation - mathematical structures of the Mesoscopic model/ by Takashi Suzuki.
作者:	Suzuki, Takashi.
出版者:	Paris : : Atlantis Press :, 2015.
面頁冊數:	xiii, 444 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Mathematics.
標題:	Mathematical analysis.
標題:	Calculus of variations.
標題:	Biomathematics.
標題:	Mathematical physics.
標題:	Analysis.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Genetics and Population Dynamics.
標題:	Physiological, Cellular and Medical Topics.
ISBN:	9789462391543
ISBN:	9789462391536
內容註:	Chemotaxis -- Time Relaxization -- Toland Duality -- Phenomenology -- Phase Transition -- Critical Phenomena of Isolated Systems -- Self-Interacting Fluids -- Magnetic Fields -- Boltzmann-Poisson Equation -- Particle Kinetics -- Parabolic Equations -- Gauge Fields -- Higher- Dimensional Blowup.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.2991/978-94-6239-154-3

Mean field theories and dual variation - mathematical structures of the Mesoscopic model[electronic resource] /
Suzuki, Takashi.

Mean field theories and dual variation - mathematical structures of the Mesoscopic model[electronic resource] /by Takashi Suzuki. - 2nd ed. - Paris :Atlantis Press :2015. - xiii, 444 p. :ill., digital ;24 cm. - Atlantis studies in mathematics for engineering and science,v.111875-7642 ;. - Atlantis studies in mathematics for engineering and science ;v.10..

Chemotaxis -- Time Relaxization -- Toland Duality -- Phenomenology -- Phase Transition -- Critical Phenomena of Isolated Systems -- Self-Interacting Fluids -- Magnetic Fields -- Boltzmann-Poisson Equation -- Particle Kinetics -- Parabolic Equations -- Gauge Fields -- Higher- Dimensional Blowup.

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.

ISBN: 9789462391543

Standard No.: 10.2991/978-94-6239-154-3doiSubjects--Topical Terms:

172349
Mathematics.

LC Class. No.: QA300

Dewey Class. No.: 515

Mean field theories and dual variation - mathematical structures of the Mesoscopic model[electronic resource] /
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