Mean field theories and dual variation
β Suzuki T
π Library
π
2015
π Atlantis Press
π English
β¦ LIBER β¦
π
Mean Field Theories and Dual Variation
β Scribed by Takashi Suzuki
- Publisher
- Atlantis Press
- Year
- 2009
- Tongue
- English
- Leaves
- 299
- Series
- Atlantis studies in mathematics for engineering and science, volume 2
- Category
- Library
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β¦ Synopsis
This text concerns continuum mechanics, electrodynamics and the mechanics of electrically polarized media, and gravity. ItsΒ accessible approach formulates theories according to the principle of least action, a concise method that makes the physical content of classical subjects intelligible to advanced undergraduates and graduate students. 1976 edition 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
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