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

Cover
Half Title
Series Page
Title Page
Copyright Page
Dedication
Contents
Foreword
Preface
Acknowledgements
1. Introduction
2. Solidification and Melting of Dilute Binary Alloys: Longitudinal and Hexagonal Planform Nonlinear Stability Analyses
3. Chemically Driven Convection of Dissociating Gases: Longitudinal Planform Nonlinear Stability Analysis
4. Temperature-Dependent Predator-Prey Mite Interaction on Apple Tree Foliage: Dynamical Systems Analysis
5. Multi-Layer Fluid Phenomena: Rayleigh-Benard-Marangoni Convection and Kelvin-Helmholtz Rock Folding: Linear Stability Analyses
6. Two-Phase Fluid Flow of Aerosols and Convection in Planetary Atmospheres: Longitudinal Planform Nonlinear Stability Analyses
7. Chemical Turing Patterns and Diffusive Instabilities: Hexagonal Planform Nonlinear Stability Analysis
8. Evolution Equation Phenomenon I: Lubrication Theory of Liquids: Hexagonal Planform Nonlinear Stability Analysis
9. Evolution Equation Phenomenon II: Ion-Sputtering of Solids: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
10. Evolution Equation Phenomenon III: Nonlinear Optical Pattern Formation: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
11. Evolution Equation Phenomenon IV: Nonlinear Vegetative Pattern Formation: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
12. Diffusive Versus Differential Flow Instabilities I: Dryland Turing Pattern Formation: Hexagonal and Square Planform Nonlinear Stability Analyses
13. Diffusive Versus Differential Flow Instabilities II: Mussel Bed Turing Pattern Formation: Hexagonal and Rhombic Planform Nonlinear Stability Analyses
14. Root Suction Driven Vegetative Rhombic Pattern Formation: Rhombic Planform Nonlinear Stability Analysis
15. Subcritical Behavior of a Model Interaction-Dispersion Equation: Longitudinal Planform Nonlinear Stability Analysis
16. Non-Cytopathic Viral-Target Cell Dynamical System Interaction: Dynamical Systems Analysis
17. Jeans\' Criterion for Gravitational Instabilities with Uniform Rotation: Linear Stability Analysis
18. Conclusions
Bibliography
Index