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

Autor David Wollkind, Bonni J. Dichone
en Limba Engleză Paperback – 4 oct 2024
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, biophysical, fluid mechanical, and chemical sciences. In doing so, methodology of modelling, analysis, and result generation are all covered.
Key Features:
    • Includes examples on such cases as solidification of alloys, chemically-driven convection of dissociating gases, temperature-dependent predator-prey mite systems, multi-layer and two-phase fluid phenomena, viral-target cell interactions, diffusive and gravitational instabilities, and chemical, material science, optical, and ecological Turing patterns.
    • Aims to make the process of quantification of scientific phenomena transparent.
    • Is a hybrid semi-autobiographical account of research results and a monograph on pattern formation.
This book is for everyone with an interest in how both scientific contributions are made and mathematical modelling is developed from first principles in STEM fields.
For errata, please visit the author's website.
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Specificații

ISBN-13: 9781032050072
ISBN-10: 1032050071
Pagini: 554
Ilustrații: 424
Dimensiuni: 178 x 254 mm
Greutate: 1.02 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Advances in Biochemistry and Biophysics

Locul publicării:Boca Raton, United States

Public țintă

Academic, Postgraduate, and Professional

Cuprins

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-Bénard-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

Notă biografică

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.

Descriere

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.