Kavallaris N.I., Suzuki T. Non-Local Partial Differential Equations for Engineering and Biology: Mathematical Modeling and Analysis

Springer International Publishing AG, 2018. — 310 p. — (Mathematics for Industry 31) — ISBN: 3319679422.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 and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering.Applications in Engineering
Micro-Electro-Mechanical-Systems (MEMS)
Ohmic Heating Phenomena
Linear Friction Welding
Resistance Spot Welding
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