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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
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:

More books from World Scientific Publishing Company

Cover of the book IAENG Transactions on Engineering Sciences by Takashi Suzuki
Cover of the book Introduction to Elasticity Theory for Crystal Defects by Takashi Suzuki
Cover of the book The Singapore Ethnic Mosaic by Takashi Suzuki
Cover of the book Introduction to General Relativity by Takashi Suzuki
Cover of the book Value Distribution in p-adic Analysis by Takashi Suzuki
Cover of the book Modern Physics and Technology for Undergraduates by Takashi Suzuki
Cover of the book Quantitative Modelling in Marketing and Management by Takashi Suzuki
Cover of the book Introduction to Pattern Recognition and Machine Learning by Takashi Suzuki
Cover of the book 2015 Agricultural Productivity, Decentralisation, and Competitiveness Analysis for Provinces and Regions of Indonesia by Takashi Suzuki
Cover of the book Singapore, My Country by Takashi Suzuki
Cover of the book Meaning of Life and the Universe by Takashi Suzuki
Cover of the book Adventures in Cosmology by Takashi Suzuki
Cover of the book Nonlinear Mixture Models by Takashi Suzuki
Cover of the book Mathematics, Poetry and Beauty by Takashi Suzuki
Cover of the book Biological Data Mining and Its Applications in Healthcare by Takashi Suzuki
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy