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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.
List of contents
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
About the author
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.
Summary
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.
