000 03244nam a22005415i 4500
001 978-94-6239-154-3
003 DE-He213
005 20161006171615.0
007 cr nn 008mamaa
008 151119s2015 fr | s |||| 0|eng d
020 _a9789462391543
_9978-94-6239-154-3
024 7 _a10.2991/978-94-6239-154-3
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aSuzuki, Takashi.
_eauthor.
245 1 0 _aMean Field Theories and Dual Variation - Mathematical Structures of the Mesoscopic Model
_h[electronic resource] /
_cby Takashi Suzuki.
250 _a2nd ed. 2015.
264 1 _aParis :
_bAtlantis Press :
_bImprint: Atlantis Press,
_c2015.
300 _aXIII, 444 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v11
505 0 _aChemotaxis -- 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 _aMean 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. 0
650 _aMathematics. 0
650 _aMathematical analysis. 0
650 _aAnalysis (Mathematics). 0
650 _aCalculus of variations. 0
650 _aBiomathematics. 0
650 _aMathematical physics.14
650 _aMathematics.24
650 _aAnalysis.24
650 _aCalculus of Variations and Optimal Control; Optimization.24
650 _aMathematical Physics.24
650 _aGenetics and Population Dynamics.24
650 _aPhysiological, Cellular and Medical Topics.2
710 _aSpringerLink (Online service)0
773 _tSpringer eBooks08
776 _iPrinted edition:
_z9789462391536 0
830 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v1140
856 _uhttp://dx.doi.org/10.2991/978-94-6239-154-3
912 _aZDB-2-SMA
999 _c227252
_d227252