1st Edition

Pulling Rabbits Out of Hats Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences

By David Wollkind, Bonni J. Dichone Copyright 2022
554 Pages 56 Color & 156 B/W Illustrations
by CRC Press

554 Pages 56 Color & 156 B/W Illustrations
by CRC Press

554 Pages 56 Color & 156 B/W Illustrations
by CRC Press

Pulling Rabbits Out of Hats:  Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences focuses on those assumptions made during applied mathematical modeling in which the phenomenological data and the model predictions are self-consistent. This comprehensive reference demonstrates how to employ a variety of mathematical techniques to quantify a number... Read more

1. Introduction

2. Solidification and Melting of Dilute Binary Alloys

3. Chemically Driven Convection of Dissociating Gases

4. Temperature-Dependent Predator-Prey Mite Interaction on Apple Tree Foliage

5. Multi-Layer Fluid Phenomena: Rayleigh-Bénard-Marangoni Convection and Kelvin- Helmholtz Rock Folding

6. Two-Phase Fluid Flow of Aerosols and Convection in Planetary Atmospheres

7. Chemical Turing Patterns and Diffusive Instabilities

8. Evolution Equation Phenomenon I: Lubrication Theory of Liquids

9. Evolution Equation Phenomenon II: Ion-Sputtering of Solids

10. Evolution Equation Phenomenon III: Nonlinear Optical Pattern Formation

11. Evolution Equation Phenomenon IV: Nonlinear Vegetative Pattern Formation

12. Diffusive Versus Differential Flow Instabilities I: Dryland Turing Pattern Formation

13. Diffusive Versus Differential Flow Instabilities II: Mussel Bed Turing Pattern Formation

14. Root Suction Driven Vegetative Rhombic Pattern Formation

15. Subcritical Behavior of a Model Interaction-Dispersion Equation

16. Non-Cytopathic Viral-Target Cell Dynamical System Interaction

17. Jeans’ Criterion for Gravitational Instabilities with Uniform Rotation

18. Conclusions

Biography

David J. Wollkind is Professor Emeritus at Washington State University, USA. Bonni Dichone is a retired Full Professor of Applied Mathematics, formerly at Gonzaga University, USA.