Non-local partial differential equations for engineering and biology : mathematical modeling and analysis / Nikos I. Kavallaris, Takashi Suzuki.
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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| Format: | eBook |
| Language: | English |
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Cham :
Springer,
[2018]
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| Series: | Mathematics for industry (Springer (Firm))
v. 31. |
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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.