
Pulling Rabbits Out of Hats
Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences
CRC Press
1st Edition
Published on 10. November 2021
Book
Hardback
538 pages
978-1-032-04787-4 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Academic, Postgraduate, and Professional
Illustrations
156 s/w Abbildungen, 56 farbige Abbildungen, 156 s/w Zeichnungen, 56 farbige Zeichnungen, 42 s/w Tabellen
42 Tables, black and white; 56 Line drawings, color; 156 Line drawings, black and white; 56 Illustrations, color; 156 Illustrations, black and white
Dimensions
Height: 260 mm
Width: 183 mm
Thickness: 34 mm
Weight
1228 gr
ISBN-13
978-1-032-04787-4 (9781032047874)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

David Wollkind | Bonni J. Dichone
Pulling Rabbits Out of Hats
Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences
Book
10/2024
1st Edition
CRC Press
€111.00
Shipment within 10-20 days

David Wollkind | Bonni J. Dichone
Pulling Rabbits Out of Hats
Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences
E-Book
11/2021
1st Edition
CRC Press
€64.49
Available for download

David Wollkind | Bonni J. Dichone
Pulling Rabbits Out of Hats
Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences
E-Book
11/2021
1st Edition
CRC Press
€64.49
Available for download
Persons
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.
Content
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-Benard-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
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-Benard-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