Chemotaxis, Reaction, Network

Mathematics for Self-Organization

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Physics, Mechanics, Mathematics
Cover of the book Chemotaxis, Reaction, Network by Takashi Suzuki, World Scientific Publishing Company
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Author: Takashi Suzuki ISBN: 9789813237759
Publisher: World Scientific Publishing Company Publication: July 26, 2018
Imprint: WSPC Language: English
Author: Takashi Suzuki
ISBN: 9789813237759
Publisher: World Scientific Publishing Company
Publication: July 26, 2018
Imprint: WSPC
Language: English

This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems. Its main features include:

  • New mathematical results observed in nonlinear systems significantly associated with the physical background on self-organization
  • Mathematically self-contained descriptions based on systematic and comprehensive descriptions of recently developed mathematical techniques
  • Fusion of many areas by strongly supported theoretical leaderships, including, chemotaxis, turbulence, fluid motion, reaction, and network

Sample Chapter(s)
Preface

Contents:

  • Chemotaxis:

    • Keller–Segel Systems
    • Blowup in Finite Time
    • Scaling Limit
    • Residual Vanishing
    • Bounded Domains
    • Simple Blowup Points
    • Blowup in Infinite Time
    • A Recursive Hierarchy
    • Initial Mass Quantization
    • Bounded Free Energy
    • Notes
  • 2D Turbulence:

    • Point Vortices
    • Mean Field Limit
    • Patch Model
    • Point Vortex Limit
    • Kinetic Model
    • Boltzmann-Poisson Equation — Classical Theory
    • Geometric Structure
    • sup + inf Inequality
    • Radial Solutions
    • Laplace-Beltrami Operators
    • Mean Value Theorems
    • Recursive Control of the Hamiltonian
    • Convex Domains
    • Notes
  • Fluid Motion:

    • Self-Gravitating Fluids
    • Plasma Confinements
    • Maximum Entropy Production
    • Degenerate Parabolic Equations
    • Structure of the Blowup Set
    • Stationary States
    • Notes
  • Reaction:

    • Mathematical Modeling of Reaction
    • Thermodynamics of Reaction Diffusion
    • Critical Dimension of Lotka-Volterra Systems
    • Virus Dynamics
    • Dissipative Systems with Quadratic Growth
    • L1-Compactness of the Orbit
    • Classical Solutions for 2D Case
    • Spatial Homogenization
    • Notes
  • Network:

    • Chemical Reaction Network
    • Multi-Component Reaction
    • Entropy Dissipation
    • Logarithmic Sobolev Inequality
    • Pathway Grouping
    • Nested Periodic Orbits
    • Dynamical Equilibrium and Its Break Down
    • Transient Oscillation
    • Notes

Readership: Researchers in partial differential equations, mathematical modeling, mathematical physics.
Key Features:

  • New mathematical results observed in nonlinear systems significantly associated with the physical background on self-organization
  • Mathematically self-contained descriptions based on systematic and comprehensive descriptions of recently developed mathematical techniques
  • Fusion of many areas by strongly supported theoretical leaderships, including, chemotaxis, turbulence, fluid motion, reaction, and network
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems. Its main features include:

Sample Chapter(s)
Preface

Contents:

Readership: Researchers in partial differential equations, mathematical modeling, mathematical physics.
Key Features:

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