國立虎尾科技大學 |

Mean field theories and dual variation - mathematical structures of the Mesoscopic model

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/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:	Physiological, Cellular and Medical Topics. -
電子資源:	http://dx.doi.org/10.2991/978-94-6239-154-3
ISBN:	9789462391543

Mean field theories and dual variation - mathematical structures of the Mesoscopic model
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.1..

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:

668518
Physiological, Cellular and Medical Topics.

LC Class. No.: QA300

Dewey Class. No.: 515

Mean field theories and dual variation - mathematical structures of the Mesoscopic model
LDR:02361nam a2200337 a 4500 001 838672
003 DE-He213
005 20160418154338.0
006 m d
007 cr nn 008maaau
008 160616s2015 fr s 0 eng d
020 $a 9789462391543 $q (electronic bk.)
020 $a 9789462391536 $q (paper)
024 7 $a 10.2991/978-94-6239-154-3 $2 doi
035 $a 978-94-6239-154-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA300
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515 $2 23
090 $a QA300 $b .S968 2015
100 1 $a Suzuki, Takashi. $3 676753
245 1 0 $a Mean field theories and dual variation - mathematical structures of the Mesoscopic model $h [electronic resource] / $c by Takashi Suzuki.
250 $a 2nd ed.
260 $a Paris : $b Atlantis Press : $b Imprint: Atlantis Press, $c 2015.
300 $a xiii, 444 p. : $b ill., digital ; $c 24 cm.
490 1 $a Atlantis studies in mathematics for engineering and science, $x 1875-7642 ; $v v.11
505 0 $a 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.
520 $a 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.
650 2 4 $a Physiological, Cellular and Medical Topics. $3 668518
650 2 4 $a Genetics and Population Dynamics. $3 670124
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Analysis. $3 669490
650 0 $a Mathematical physics. $3 527831
650 0 $a Biomathematics. $3 527725
650 0 $a Calculus of variations. $3 527927
650 0 $a Mathematical analysis. $3 527926
650 0 $a Mathematics. $3 527692
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Atlantis studies in mathematics for engineering and science ; $v v.1. $3 885830
856 4 0 $u http://dx.doi.org/10.2991/978-94-6239-154-3
950 $a Mathematics and Statistics (Springer-11649)