Nonlinear Differential Equations Of Chemically Reacting Systems

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Nonlinear Differential Equations of Chemically Reacting Systems

Author : George R. Gavalas
Publisher : Springer Science & Business Media
ISBN 13 : 3642876439
Total Pages : 116 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reacting Systems by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Reacting Systems written by George R. Gavalas and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years considerable interest has developed in the mathe matical analysis of chemically reacting systems both in the absence and in the presence of diffusion. Earlier work has been limited to simple problems amenable to closed form solutions, but now the computer permits the numerical solution of complex systems of nonlinear differ ential equations. The numerical approach provides quantitative infor mation, but for practical reasons it must be limited to a rather narrow range of the parameters of the problem. Consequently, it is desirable to obtain broader qualitative information about the solutions by in vestigating from a more fundamental mathematical point of view the structure of the differential equations. This theoretical approach can actually complement and guide the computational approach by narrow ing down trial and error procedures, pinpointing singularities and suggesting methods for handling them. The study of the structure of the differential equations may also clarify some physical principles and suggest new experiments. A serious limitation ofthe theoretical approach is that many of the results obtained, such as the sufficient conditions for the stability of the steady state, turn out to be very conservative. Thus the theoretical and computational approaches are best used to gether for the purpose of understanding, designing, and controlling chemically reacting systems. The present monograph is intended as a contribution to the theory of the differential equations describing chemically reacting systems.

Nonlinear Differential Equations of Chemically Reacting Systems

Author : George R. Gavalas
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reacting Systems by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Reacting Systems written by George R. Gavalas and published by . This book was released on 1968 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Nonlinear Partial Differential Equations

Author : J. David Logan
Publisher : John Wiley & Sons
ISBN 13 : 0470225955
Total Pages : 416 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis An Introduction to Nonlinear Partial Differential Equations by : J. David Logan

Download or read book An Introduction to Nonlinear Partial Differential Equations written by J. David Logan and published by John Wiley & Sons. This book was released on 2008-04-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition: "This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds." —SIAM Review A practical introduction to nonlinear PDEs and their real-world applications Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied mathematics. This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations. Unlike comparable books that typically only use formal proofs and theory to demonstrate results, An Introduction to Nonlinear Partial Differential Equations, Second Edition takes a more practical approach to nonlinear PDEs by emphasizing how the results are used, why they are important, and how they are applied to real problems. The intertwining relationship between mathematics and physical phenomena is discovered using detailed examples of applications across various areas such as biology, combustion, traffic flow, heat transfer, fluid mechanics, quantum mechanics, and the chemical reactor theory. New features of the Second Edition also include: Additional intermediate-level exercises that facilitate the development of advanced problem-solving skills New applications in the biological sciences, including age-structure, pattern formation, and the propagation of diseases An expanded bibliography that facilitates further investigation into specialized topics With individual, self-contained chapters and a broad scope of coverage that offers instructors the flexibility to design courses to meet specific objectives, An Introduction to Nonlinear Partial Differential Equations, Second Edition is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs.

Stochastic Processes in Physics and Chemistry

Author : N.G. Van Kampen
Publisher : Elsevier
ISBN 13 : 0080475361
Total Pages : 481 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Stochastic Processes in Physics and Chemistry by : N.G. Van Kampen

Download or read book Stochastic Processes in Physics and Chemistry written by N.G. Van Kampen and published by Elsevier. This book was released on 2011-08-30 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of Van Kampen's standard work has been revised and updated. The main difference with the second edition is that the contrived application of the quantum master equation in section 6 of chapter XVII has been replaced with a satisfactory treatment of quantum fluctuations. Apart from that throughout the text corrections have been made and a number of references to later developments have been included. From the recent textbooks the following are the most relevant.C.W.Gardiner, Quantum Optics (Springer, Berlin 1991)D.T. Gillespie, Markov Processes (Academic Press, San Diego 1992)W.T. Coffey, Yu.P.Kalmykov, and J.T.Waldron, The Langevin Equation (2nd edition, World Scientific, 2004) - Comprehensive coverage of fluctuations and stochastic methods for describing them - A must for students and researchers in applied mathematics, physics and physical chemistry

Mathematical Problems for Chemistry Students

Author : Gyorgy Pota
Publisher : Elsevier
ISBN 13 : 0080464890
Total Pages : 259 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Mathematical Problems for Chemistry Students by : Gyorgy Pota

Download or read book Mathematical Problems for Chemistry Students written by Gyorgy Pota and published by Elsevier. This book was released on 2011-08-30 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Problems for Chemistry Students has been compiled and written (a) to help chemistrystudents in their mathematical studies by providing them with mathematical problems really occurring in chemistry (b) to help practising chemists to activate their applied mathematical skills and (c) to introduce students and specialistsof the chemistry-related fields (physicists, mathematicians, biologists, etc.) intothe world of the chemical applications.Some problems of the collection are mathematical reformulations of those in the standard textbooks of chemistry, others were taken from theoretical chemistry journals. All major fields of chemistry are covered, and each problem is given a solution.This problem collection is intended for beginners and users at an intermediate level. It can be used as a companion to virtually all textbooks dealing with scientific and engineering mathematics or specifically mathematics for chemists.* Covers a wide range of applications of the most essential tools in applied mathematics* A new approach to a number of classical textbook-problems* A number of non-classical problems are included

The Analysis of Chemically Reacting Systems

Author : Laxmangudi Krishnamurthy Doraiswamy
Publisher : Taylor & Francis
ISBN 13 : 9780677216706
Total Pages : 496 pages
Book Rating : 4.2/5 (167 download)

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Book Synopsis The Analysis of Chemically Reacting Systems by : Laxmangudi Krishnamurthy Doraiswamy

Download or read book The Analysis of Chemically Reacting Systems written by Laxmangudi Krishnamurthy Doraiswamy and published by Taylor & Francis. This book was released on 1987 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.

Selected Topics in Dynamics and Control of Chemical and Biological Processes

Author : Hugo Oscar Méndez-Acosta
Publisher : Springer
ISBN 13 : 3540731881
Total Pages : 323 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Selected Topics in Dynamics and Control of Chemical and Biological Processes by : Hugo Oscar Méndez-Acosta

Download or read book Selected Topics in Dynamics and Control of Chemical and Biological Processes written by Hugo Oscar Méndez-Acosta and published by Springer. This book was released on 2007-10-29 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents both basic and advanced concepts and techniques for the monitoring and control of chemical and biochemical processes. It also covers aspects of the implementation of these different robust techniques. The book offers a balanced view of the theoretical and practical issues of control systems and provides different cases to illustrate the controller and observer design procedures and their dynamic effects in the closed-loop.

Biotreatment, Downstream Processing and Modelling

Author : Pratima Bajpai
Publisher : Springer Science & Business Media
ISBN 13 : 9783540614852
Total Pages : 224 pages
Book Rating : 4.6/5 (148 download)

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Book Synopsis Biotreatment, Downstream Processing and Modelling by : Pratima Bajpai

Download or read book Biotreatment, Downstream Processing and Modelling written by Pratima Bajpai and published by Springer Science & Business Media. This book was released on 1997 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook.

Monte-Carlo Methods and Stochastic Processes

Author : Emmanuel Gobet
Publisher : CRC Press
ISBN 13 : 149874625X
Total Pages : 283 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Monte-Carlo Methods and Stochastic Processes by : Emmanuel Gobet

Download or read book Monte-Carlo Methods and Stochastic Processes written by Emmanuel Gobet and published by CRC Press. This book was released on 2016-09-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author’s course at the Ecole Polytechnique, Monte-Carlo Methods and Stochastic Processes: From Linear to Non-Linear focuses on the simulation of stochastic processes in continuous time and their link with partial differential equations (PDEs). It covers linear and nonlinear problems in biology, finance, geophysics, mechanics, chemistry, and other application areas. The text also thoroughly develops the problem of numerical integration and computation of expectation by the Monte-Carlo method. The book begins with a history of Monte-Carlo methods and an overview of three typical Monte-Carlo problems: numerical integration and computation of expectation, simulation of complex distributions, and stochastic optimization. The remainder of the text is organized in three parts of progressive difficulty. The first part presents basic tools for stochastic simulation and analysis of algorithm convergence. The second part describes Monte-Carlo methods for the simulation of stochastic differential equations. The final part discusses the simulation of non-linear dynamics.

Equivariant Degree Theory

Author : Jorge Ize
Publisher : Walter de Gruyter
ISBN 13 : 3110200023
Total Pages : 385 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Equivariant Degree Theory by : Jorge Ize

Download or read book Equivariant Degree Theory written by Jorge Ize and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree in a self-contained presentation starting with only elementary facts. The first chapter explains the basic tools of representation theory, homotopy theory and differential equations needed in the text. Then the degree is defined and its main abstract properties are derived. The next part is devoted to the study of equivariant homotopy groups of spheres and to the classification of equivariant maps in the case of abelian actions. These groups are explicitely computed and the effects of symmetry breaking, products and composition are thorougly studied. The last part deals with computations of the equivariant index of an isolated orbit and of an isolated loop of stationary points. Here differential equations in a variety of situations are considered: symmetry breaking, forcing, period doubling, twisted orbits, first integrals, gradients etc. Periodic solutions of Hamiltonian systems, in particular spring-pendulum systems, are studied as well as Hopf bifurcation for all these situations.

Advances in Chemical Physics, Volume 33

Author : Ilya Prigogine
Publisher : John Wiley & Sons
ISBN 13 : 0470142979
Total Pages : 476 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Advances in Chemical Physics, Volume 33 by : Ilya Prigogine

Download or read book Advances in Chemical Physics, Volume 33 written by Ilya Prigogine and published by John Wiley & Sons. This book was released on 2009-09-08 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics.

Advances in Numerical Simulation in Physics and Engineering

Author : Carlos Parés
Publisher : Springer
ISBN 13 : 3319028391
Total Pages : 303 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Advances in Numerical Simulation in Physics and Engineering by : Carlos Parés

Download or read book Advances in Numerical Simulation in Physics and Engineering written by Carlos Parés and published by Springer. This book was released on 2014-07-05 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly addressed to young graduate students in engineering and natural sciences who start to face numerical simulation, either at a research level or in the field of industrial applications. The main subjects covered are: Biomechanics, Stochastic Calculus, Geophysical flow simulation and Shock-Capturing numerical methods for Hyperbolic Systems of Partial Differential Equations. The book can also be useful to researchers or even technicians working at an industrial environment, who are interested in the state-of-the-art numerical techniques in these fields. Moreover, it gives an overview of the research developed at the French and Spanish universities and in some European scientific institutions. This book can be also useful as a textbook at master courses in Mathematics, Physics or Engineering.

Variational Methods Applied to Problems of Diffusion and Reaction

Author : William Strieder
Publisher : Springer Science & Business Media
ISBN 13 : 3642656242
Total Pages : 121 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Variational Methods Applied to Problems of Diffusion and Reaction by : William Strieder

Download or read book Variational Methods Applied to Problems of Diffusion and Reaction written by William Strieder and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Aspects of Reacting and Diffusing Systems

Author : P. C. Fife
Publisher : Springer Science & Business Media
ISBN 13 : 3642931111
Total Pages : 192 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Mathematical Aspects of Reacting and Diffusing Systems by : P. C. Fife

Download or read book Mathematical Aspects of Reacting and Diffusing Systems written by P. C. Fife and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and analyzing the dynamics of chemical mixtures by means of differ- tial equations is one of the prime concerns of chemical engineering theorists. These equations often take the form of systems of nonlinear parabolic partial d- ferential equations, or reaction-diffusion equations, when there is diffusion of chemical substances involved. A good overview of this endeavor can be had by re- ing the two volumes by R. Aris (1975), who himself was one of the main contributors to the theory. Enthusiasm for the models developed has been shared by parts of the mathematical community, and these models have, in fact, provided motivation for some beautiful mathematical results. There are analogies between chemical reactors and certain biological systems. One such analogy is rather obvious: a single living organism is a dynamic structure built of molecules and ions, many of which react and diffuse. Other analogies are less obvious; for example, the electric potential of a membrane can diffuse like a chemical, and of course can interact with real chemical species (ions) which are transported through the membrane. These facts gave rise to Hodgkin's and Huxley's celebrated model for the propagation of nerve signals. On the level of populations, individuals interact and move about, and so it is not surprising that here, again, the simplest continuous space-time interaction-migration models have the same g- eral appearance as those for diffusing and reacting chemical systems.

Advanced Instrumentation, Data Interpretation, and Control of Biotechnological Processes

Author : J.F. van Impe
Publisher : Springer Science & Business Media
ISBN 13 : 9401591113
Total Pages : 474 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Advanced Instrumentation, Data Interpretation, and Control of Biotechnological Processes by : J.F. van Impe

Download or read book Advanced Instrumentation, Data Interpretation, and Control of Biotechnological Processes written by J.F. van Impe and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the outgrowth of the COMETT II Course on Advanced Instru mentation, Data Interpretation, and Control of Biotechnological Processes organized by the Katholieke Universiteit Leuven and the Universiteit Gent, and held at Gent, Belgium, October 1994. The editors of the present volume were very fortunate to find all invited speakers prepared to write state-of-the-art expositions based on their lec tures. Special thanks are due to all of them. The result is an account of recent advances in instrumentation, data interpretation, and model based op timization and control of bioprocesses. For anyone interested in this emerg ing field, this text is of value and provides comprehensive reviews as well as new and important trends and directions for the future, motivated and illustrated by a wealth of applications. The typesetting of all this material represented a tremendous amount of work. I am most grateful to my wife, Myriam Uyttendaele, and to Kurt Gheys, who did most of the proof-reading. Their efforts have increased a lot the uniformity in style and presentation of the different manuscripts. Many thanks also to the co-editors, for their continued support. Kluwer Academic Publishers is gratefully acknowledged for publishing this book, thus contributing to the transfer of the latest research results into large scale industrial applications.

Recent Advances in the Engineering Analysis of Chemically Reacting Systems

Author : Laxmangudi Krishnamurthy Doraiswamy
Publisher :
ISBN 13 :
Total Pages : 630 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Recent Advances in the Engineering Analysis of Chemically Reacting Systems by : Laxmangudi Krishnamurthy Doraiswamy

Download or read book Recent Advances in the Engineering Analysis of Chemically Reacting Systems written by Laxmangudi Krishnamurthy Doraiswamy and published by . This book was released on 1984 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Systems Biology

Author : A.K. Konopka
Publisher : CRC Press
ISBN 13 : 1420015125
Total Pages : 258 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Systems Biology by : A.K. Konopka

Download or read book Systems Biology written by A.K. Konopka and published by CRC Press. This book was released on 2006-11-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: With extraordinary clarity,the Systems Biology: Principles, Methods, and Concepts focuses on the technical practical aspects of modeling complex or organic general systems. It also provides in-depth coverage of modeling biochemical, thermodynamic, engineering, and ecological systems. Among other methods and concepts based in logic, computer