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Non-Local Partial Differential Equations for Engineering and Biology Mathematical Modeling and Analysis /

This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review a...

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Bibliographic Details
Main Authors: Kavallaris, Nikos I. (Author), Suzuki, Takashi (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2018.
Imprint: Springer,
Edition:1st ed. 2018.
Series:Mathematics for Industry, 31
Subjects:
Online Access:Full-text access
Table of Contents:
  • Dedication
  • Preface
  • Acknowledgements
  • Part I Applications in Engineering
  • Micro-electro-mechanical-systems(MEMS)
  • Ohmic Heating Phenomena
  • Linear Friction Welding
  • Resistance Spot Welding
  • Part II Applications in Biology
  • Gierer-Meinhardt System
  • A Non-local Model Illustrating Replicator Dynamics
  • A Non-local Model Arising in Chemotaxis
  • A Non-local Reaction-Diffusion System Illustrating Cell Dynamics
  • Appendices
  • Index.