| Document Type
|
:
|
BL
|
| Record Number
|
:
|
686936
|
| Doc. No
|
:
|
b509125
|
| Main Entry
|
:
|
Suzuki, Takashi
|
| Title & Author
|
:
|
Mean field theories and dual variation\ Takashi Suzuki
|
| Publication Statement
|
:
|
Paris :: Atlantis Press,, 2008
|
| Series Statement
|
:
|
Atlantis studies in mathematics for engineering and science,; v. 2
|
| Page. NO
|
:
|
1 online resource (x, 288 p.)
|
| ISBN
|
:
|
9491216228
|
|
|
:
|
: 9789491216220
|
|
|
:
|
9078677147
|
|
|
:
|
9789078677147
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references (p. 271-284) and index
|
| Contents
|
:
|
ch. 1. Duality - Sealed Variation -- Chemotaxis -- Thermal Transport -- Collapse Formation -- Mean Field Hierarchy -- Stationary State -- Localization and Symmetrization -- Rescaling -- Mass Quantization -- Blowup Rate -- Blowup in Infinite Time -- Time Relaxation -- Geometric Flow -- Toland Duality -- Exponential Nonlinearity -- Full System of Chemotaxis -- Lagrangian -- Variational Equivalence -- Spectral Equivalence -- Stability -- Gradient Systems with Duality -- Entropy Functional -- Zygmund Space -- Phenomenology -- Non-Convex Evolution -- Gradient and Skew-Gradient Systems -- Skew-Gradient Systems with Duality -- Semi-Unfolding-Minimality -- Kuhn-Tucker Duality -- Thermodynamics -- Stefan Problem -- Thermal Equilibrium -- Penrose-Fife Theory -- Non-Equilibrium -- Phase Fields -- Fix-Caginalp Equation -- Penrose-Fife Equation -- Coupled Cahn-Hilliard Equation -- Shape Memory Alloys -- Time Map -- ch. 2. Scaling - Revealing Hierarchy -- Self-Interacting Continuum -- Self-Gravitating Fluids -- Equilibrium -- Plasma Confinement -- Stable Equilibrium -- Related Problems -- Particle Kinetics -- Vortex -- Boltzmann Relation -- Ensemble -- Turbulence -- Kramers-Moyal Expansion -- Kinetic Theory -- Gauge Field -- Field Theory -- Exponential Nonlinearity Revisited -- Scaling Invariance -- Liouville-Bandle Theory -- Alexandroff-Bol's Inequality -- Pre-Scaled Analysis -- Entire Solution -- Blowup Analysis -- Higher-Dimensional Blowup -- Semilinear Parabolic Equation -- Method of Duality -- Higher-Dimensional Quantization -- Dimension Control of the Blowup Set
|
| Subject
|
:
|
Differential equations, Partial
|
| Subject
|
:
|
Mean field theory
|
| LC Classification
|
:
|
QC174.85.M43S89 2008
|