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

1. Introduction2. Solidification and Melting of Dilute Binary Alloys3. Chemically Driven Convection of Dissociating Gases4. Temperature-Dependent Predator-Prey Mite Interaction on Apple Tree Foliage5. Multi-Layer Fluid Phenomena: Rayleigh-B?nard-Marangoni Convection and Kelvin-Helmholtz Rock Folding6. Two-Phase Fluid Flow of Aerosols and Convection in Planetary Atmospheres7. Chemical Turing Patterns and Diffusive Instabilities8. Evolution Equation Phenomenon I: Lubrication Theory of Liquids9. Evolution Equation Phenomenon II: Ion-Sputtering of Solids10. Evolution Equation Phenomenon III: Nonlinear Optical Pattern Formation11. Evolution Equation Phenomenon IV: Nonlinear Vegetative Pattern Formation12. Diffusive Versus Differential Flow Instabilities I: Dryland Turing Pattern Formation13. Diffusive Versus Differential Flow Instabilities II: Mussel Bed Turing Pattern Formation14. Root Suction Driven Vegetative Rhombic Pattern Formation15. Subcritical Behavior of a Model Interaction-Dispersion Equation16. Non-Cytopathic Viral-Target Cell Dynamical System Interaction17. Jeans Criterion for Gravitational Instabilities with Uniform Rotation18. Conclusions

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.

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 of problems from the material, biop