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Chemotaxis, reaction, network[electronic resource] :mathematics for self-organization /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	003/.7
書名/作者:	Chemotaxis, reaction, network : mathematics for self-organization // Takashi Suzuki.
其他題名:	Mathematics for self-organization
作者:	Suzuki, Takashi.
出版者:	Singapore : : World Scientific Publishing Co. Pte. Ltd.,, c2018.
面頁冊數:	1 online resource (xii, 316 p.) : : ill.
標題:	Self-organizing systems.
標題:	Chemotaxis.
標題:	Thermodynamics.
ISBN:	9789813237742
ISBN:	9813237740
ISBN:	9789813237759
ISBN:	9813237759
書目註:	Includes bibliographical references (p. 303-314) and index.
內容註:	Intro ; Contents ; Preface ; Acknowledgments ; 1. Chemotaxis ; 1.1 Keller-Segel Systems ; 1.2 Blowup in Finite Time ; 1.3 Scaling Limit ; 1.4 Residual Vanishing ; 1.5 Bounded Domains ; 1.6 Simple Blowup Points ; 1.7 Blowup in Infinite Time ; 1.8 A Recursive Hierarchy ; 1.9 Initial Mass Quantization ; 1.10 Bounded Free Energy ; 1.11 Notes ; 2. 2D Turbulence ; 2.1 Point Vortices ; 2.2 Mean Field Limit ; 2.3 Patch Model ; 2.4 Point Vortex Limit ; 2.5 Kinetic Model ; 2.6 Boltzmann-Poisson Equation -- Classical Theory ; 2.7 Geometric Structure ; 2.8 sup+inf Inequality ; 2.9 Radial Solutions ; 2.10 Laplace-Beltrami Operators.
摘要、提要註:	"This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems."--
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/10926#t=toc

Chemotaxis, reaction, network[electronic resource] :mathematics for self-organization /
Suzuki, Takashi.

Chemotaxis, reaction, networkmathematics for self-organization /[electronic resource] :Mathematics for self-organizationTakashi Suzuki. - 1st ed. - Singapore :World Scientific Publishing Co. Pte. Ltd.,c2018. - 1 online resource (xii, 316 p.) :ill.

Includes bibliographical references (p. 303-314) and index.

Intro ; Contents ; Preface ; Acknowledgments ; 1. Chemotaxis ; 1.1 Keller-Segel Systems ; 1.2 Blowup in Finite Time ; 1.3 Scaling Limit ; 1.4 Residual Vanishing ; 1.5 Bounded Domains ; 1.6 Simple Blowup Points ; 1.7 Blowup in Infinite Time ; 1.8 A Recursive Hierarchy ; 1.9 Initial Mass Quantization ; 1.10 Bounded Free Energy ; 1.11 Notes ; 2. 2D Turbulence ; 2.1 Point Vortices ; 2.2 Mean Field Limit ; 2.3 Patch Model ; 2.4 Point Vortex Limit ; 2.5 Kinetic Model ; 2.6 Boltzmann-Poisson Equation -- Classical Theory ; 2.7 Geometric Structure ; 2.8 sup+inf Inequality ; 2.9 Radial Solutions ; 2.10 Laplace-Beltrami Operators.

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

ISBN: 9789813237742Subjects--Topical Terms:

433539
Self-organizing systems.

LC Class. No.: Q325 / .S89 2018eb

Dewey Class. No.: 003/.7

Chemotaxis, reaction, network[electronic resource] :mathematics for self-organization /
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245 1 0 $a Chemotaxis, reaction, network $h [electronic resource] : $b mathematics for self-organization / $c Takashi Suzuki.
246 3 0 $a Mathematics for self-organization
250 $a 1st ed.
260 $a Singapore : $b World Scientific Publishing Co. Pte. Ltd., $c c2018.
300 $a 1 online resource (xii, 316 p.) : $b ill.
504 $a Includes bibliographical references (p. 303-314) and index.
505 0 $a Intro ; Contents ; Preface ; Acknowledgments ; 1. Chemotaxis ; 1.1 Keller-Segel Systems ; 1.2 Blowup in Finite Time ; 1.3 Scaling Limit ; 1.4 Residual Vanishing ; 1.5 Bounded Domains ; 1.6 Simple Blowup Points ; 1.7 Blowup in Infinite Time ; 1.8 A Recursive Hierarchy ; 1.9 Initial Mass Quantization ; 1.10 Bounded Free Energy ; 1.11 Notes ; 2. 2D Turbulence ; 2.1 Point Vortices ; 2.2 Mean Field Limit ; 2.3 Patch Model ; 2.4 Point Vortex Limit ; 2.5 Kinetic Model ; 2.6 Boltzmann-Poisson Equation -- Classical Theory ; 2.7 Geometric Structure ; 2.8 sup+inf Inequality ; 2.9 Radial Solutions ; 2.10 Laplace-Beltrami Operators.
505 8 $a 2.11 Mean Value Theorems ; 2.12 Recursive Control of the Hamiltonian ; 2.13 Convex Domains ; 2.14 Notes ; 3. Fluid Motion ; 3.1 Self-gravitating Fluids ; 3.2 Plasma Confinements ; 3.3 Maximum Entropy Production ; 3.4 Degenerate Parabolic Equations ; 3.5 Structure of the Blowup Set ; 3.6 Stationary States ; 3.7 Notes ; 4. Reaction ; 4.1 Mathematical Modeling of Reaction ; 4.2 Thermodynamics of Reaction Diffusion ; 4.3 Critical Dimension of Lotka-Volterra Systems ; 4.4 Virus Dynamics ; 4.5 Dissipative Systems with Quadratic Growth ; 4.6 L1-compactness of the Orbit ; 4.7 Classical Solutions for 2D Case.
505 8 $a 4.8 Spatial Homogenization ; 4.9 Notes ; 5. Network ; 5.1 Chemical Reaction Network ; 5.2 Multi-component Reaction ; 5.3 Entropy Dissipation ; 5.4 Logarithmic Sobolev Inequality ; 5.5 Pathway Grouping ; 5.6 Nested Periodic Orbits ; 5.7 Dynamical Equilibrium and Its Break Down ; 5.8 Transient Oscillation ; 5.9 Notes ; Bibliography ; Index.
520 $a "This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems."-- $c Provided by publisher.
588 $a Print version record.
650 0 $a Self-organizing systems. $3 433539
650 0 $a Chemotaxis. $3 710743
650 0 $a Thermodynamics. $3 172172
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/10926#t=toc