Free Energy and Self-Interacting Particles

This book examines a system of parabolic-elliptic partial differential eq- tions proposed in mathematical biology, statistical mechanics, and chemical kinetics. In the context of biology, this system of equations describes the chemotactic feature of cellular slime molds and also the capillary format...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Suzuki, Takashi (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2005.
Edition:1st ed. 2005.
Series:Progress in Nonlinear Differential Equations and Their Applications, 62
Subjects:
Mathematics.
Differential equations.
Mathematical analysis.
Mathematical physics.
Biomathematics.
Engineering mathematics.
Engineering-Data processing.
Applications of Mathematics.
Differential Equations.
Analysis.
Mathematical Methods in Physics.
Mathematical and Computational Biology.
Mathematical and Computational Engineering Applications.
Online Access:Texto Completo
Table of Contents:
  • Summary
  • Background
  • Fundamental Theorem
  • Trudinger-Moser Inequality
  • The Green's Function
  • Equilibrium States
  • Blowup Analysis for Stationary Solutions
  • Multiple Existence
  • Dynamical Equivalence
  • Formation of Collapses
  • Finiteness of Blowup Points
  • Concentration Lemma
  • Weak Solution
  • Hyperparabolicity
  • Quantized Blowup Mechanism
  • Theory of Dual Variation.

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