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

• Main Authors: Kavallaris, Nikos I. (Author, http://id.loc.gov/vocabulary/relators/aut), Suzuki, Takashi (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Mathematics for Industry, 31
• Subjects: Mechanics.; Mechanics, Applied.; Mathematical physics.; Bioinformatics .; Computational biology .; Partial differential equations.; Chemical engineering.; Theoretical and Applied Mechanics.; Mathematical Applications in the Physical Sciences.; Computer Appl. in Life Sciences.; Partial Differential Equations.; Industrial Chemistry/Chemical Engineering.

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...

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.