عنوان

Mean field theories and dual variation

(electronic bk.)

(electronic bk.)

9491216228

9789491216220

9078677147

9789078677147

b509125

Mean field theories and dual variation

[Book]

Takashi Suzuki

Paris :

Atlantis Press,

2008

1 online resource (x, 288 p.)

Atlantis studies in mathematics for engineering and science,

v. 2

1875-7642 ;

Includes bibliographical references (p. 271-284) and index

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

0

SpringerLink

Differential equations, Partial

Mean field theory

Suzuki, Takashi

20120501034609.0

[Book]

Y