Variational Methods Applied To Problems Of Diffusion And Reaction
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Variational Methods Applied To Problems Of Diffusion And Reaction
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Author : William Strieder
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Variational Methods Applied To Problems Of Diffusion And Reaction written by William Strieder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Mathematics categories.
This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5.
Variational Methods Applied To Problems Of Diffusion And Reaction
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Author : William Strieder
language : en
Publisher:
Release Date : 1973
Variational Methods Applied To Problems Of Diffusion And Reaction written by William Strieder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Calcul des variations categories.
Variational Methods Applied To Problems Of Diffusion And Reaction
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Author : W. Strieder
language : de
Publisher:
Release Date : 1973
Variational Methods Applied To Problems Of Diffusion And Reaction written by W. Strieder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Calculus of variations categories.
Diffusion Limited Reactions
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Author : S.A. Rice
language : en
Publisher: Elsevier
Release Date : 1985-03-01
Diffusion Limited Reactions written by S.A. Rice and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-03-01 with Science categories.
Diffusion-Limited Reactions
A Closer Look Of Nonlinear Reaction Diffusion Equations
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Author : L. Rajendran
language : en
Publisher: Nova Science Publishers
Release Date : 2020-08-26
A Closer Look Of Nonlinear Reaction Diffusion Equations written by L. Rajendran and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Reaction-diffusion equations categories.
By using mathematical models to describe the physical, biological or chemical phenomena, one of the most common results is either a differential equation or a system of differential equations, together with the correct boundary and initial conditions. The determination and interpretation of their solution are at the base of applied mathematics. Hence the analytical and numerical study of the differential equation is very much essential for all theoretical and experimental researchers, and this book helps to develop skills in this area.Recently non-linear differential equations were widely used to model many of the interesting and relevant phenomena found in many fields of science and technology on a mathematical basis. This problem is to inspire them in various fields such as economics, medical biology, plasma physics, particle physics, differential geometry, engineering, signal processing, electrochemistry and materials science.This book contains seven chapters and practical applications to the problems of the real world. The first chapter is specifically for those with limited mathematical background. Chapter one presents the introduction of non-linear reaction-diffusion systems, various boundary conditions and examples. Real-life application of non-linear reaction-diffusion in different fields with some important non-linear equations is also discussed. In Chapter 2, mathematical preliminaries and various advanced methods of solving non-linear differential equations such as Homotopy perturbation method, variational iteration method, exponential function method etc. are described with examples.Steady and non-steady state reaction-diffusion equations in the plane sheet (chapter 3), cylinder (chapter 4) and spherical (chapter 5) are analyzed. The analytical results published by various researchers in referred journals during 2007-2020 have been addressed in these chapters 4 to 6, and this leads to conclusions and recommendations on what approaches to use on non-linear reaction-diffusion equations.Convection-diffusion problems arise very often in applied sciences and engineering. Non-linear convection-diffusion equations and corresponding analytical solutions in various fields of chemical sciences are discussed in chapter6. Numerical methods are used to provide approximate results for the non-linear problems, and their importance is felt when it is impossible or difficult to solve a given problem analytically. Chapter 7 identifies some of the numerical methods for finding solutions to non-linear differential equations.
Stability Criteria For Fluid Flows
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Author : Lidia Palese
language : en
Publisher: World Scientific
Release Date : 2009-12-18
Stability Criteria For Fluid Flows written by Lidia Palese and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-18 with Science categories.
This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.
The Shock And Vibration Digest
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Author :
language : en
Publisher:
Release Date : 1976-07
The Shock And Vibration Digest written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-07 with Shock (Mechanics) categories.
The Method Of Volume Averaging
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Author : S. Whitaker
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Method Of Volume Averaging written by S. Whitaker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
Multiphase systems dominate nearly every area of science and technology, and the method of volume averaging provides a rigorous foundation for the analysis of these systems. The development is based on classical continuum physics, and it provides both the spatially smoothed equations and a method of predicting the effective transport coefficients that appear in those equations. The text is based on a ten-week graduate course that has been taught for more than 20 years at the University of California at Davis and at other universities around the world. Problems dealing with both the theoretical foundations and the applications are included with each chapter, and detailed solutions for all problems are available from the author. The course has attracted participants from chemical engineering, mechanical engineering, civil engineering, hydrologic science, mathematics, chemistry and physics.
Maximum And Minimum Principles
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Author : M. J. Sewell
language : en
Publisher: Cambridge University Press
Release Date : 1987-12-17
Maximum And Minimum Principles written by M. J. Sewell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-12-17 with Mathematics categories.
This book provides a unified account of the theory required to establish upper and lower bounds.
The Mathematics And Physics Of Disordered Media
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Author : B.D. Hughes
language : en
Publisher: Springer
Release Date : 2006-11-14
The Mathematics And Physics Of Disordered Media written by B.D. Hughes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.