The Theory and Applications of Reaction-diffusion Equations PDF Download
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Author: Peter Grindrod
Publisher: Oxford University Press
ISBN: 9780198500049
Category : Mathematics
Languages : en
Pages : 275
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Book Description
This textbook is concerned with the highly topical area of reaction-diffusion equations. This popular textbook provides a compendium of useful techniques for the analysis of such equations and shows how they find application in a variety of settings, notably in pattern formation and nonplanar wave-like structures. New to the second edition, is a chapter on geochemical systems with applications to environmental modelling problems. This is an ideal introduction to the subject for graduatestudents as well as those mathematicians and scientists whose work touches on these topics.
Author: Peter Grindrod
Publisher: Oxford University Press
ISBN: 9780198500049
Category : Mathematics
Languages : en
Pages : 275
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Book Description
This textbook is concerned with the highly topical area of reaction-diffusion equations. This popular textbook provides a compendium of useful techniques for the analysis of such equations and shows how they find application in a variety of settings, notably in pattern formation and nonplanar wave-like structures. New to the second edition, is a chapter on geochemical systems with applications to environmental modelling problems. This is an ideal introduction to the subject for graduatestudents as well as those mathematicians and scientists whose work touches on these topics.
Author: Peter Grindrod
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 264
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Book Description
Author: N. F. Britton
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 296
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Book Description
Although the book is largely self-contained, some knowledge of the mathematics of differential equations is necessary. Thus the book is intended for mathematicians who are interested in the application of their subject to the biological sciences and for biologists with some mathematical training. It is also suitable for postgraduate mathematics students and for undergraduate mathematicians taking a course in mathematical biology. Increasing use of mathematics in developmental biology, ecology, physiology, and many other areas in the biological sciences has produced a need for a complete, mathematical reference for laboratory practice. In this volume, biological scientists will find a rich resource of interesting applications and illustrations of various mathematical techniques that can be used to analyze reaction-diffusion systems. Concepts covered here include:**systems of ordinary differential equations**conservative systems**the scalar reaction-diffusion equation**analytic techniques for systems of parabolic partial differential equations**bifurcation theory**asymptotic methods for oscillatory systems**singular perturbations**macromolecular carriers -- asymptotic techniques.
Author: Wilfried Grecksch
Publisher: World Scientific
ISBN: 9811209804
Category : Science
Languages : en
Pages : 261
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Book Description
This volume contains survey articles on various aspects of stochastic partial differential equations (SPDEs) and their applications in stochastic control theory and in physics.The topics presented in this volume are:This book is intended not only for graduate students in mathematics or physics, but also for mathematicians, mathematical physicists, theoretical physicists, and science researchers interested in the physical applications of the theory of stochastic processes.
Author: Weijiu Liu
Publisher: Springer Science & Business Media
ISBN: 3642046134
Category : Mathematics
Languages : en
Pages : 303
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Book Description
Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.
Author: Péter Érdi
Publisher: Manchester University Press
ISBN: 9780719022081
Category : Science
Languages : en
Pages : 296
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Book Description
Author: Jianhong Wu
Publisher: Springer Science & Business Media
ISBN: 1461240506
Category : Mathematics
Languages : en
Pages : 441
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Book Description
Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.
Author: C.V. Pao
Publisher: Springer Science & Business Media
ISBN: 1461530342
Category : Mathematics
Languages : en
Pages : 786
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Book Description
In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.
Author: Sushanta Dattagupta
Publisher: Taylor & Francis
ISBN: 1439895570
Category : Mathematics
Languages : en
Pages : 310
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Book Description
Within a unifying framework, Diffusion: Formalism and Applications covers both classical and quantum domains, along with numerous applications. The author explores the more than two centuries-old history of diffusion, expertly weaving together a variety of topics from physics, mathematics, chemistry, and biology. The book examines the two distinct paradigms of diffusion—physical and stochastic—introduced by Fourier and Laplace and later unified by Einstein in his groundbreaking work on Brownian motion. The author describes the role of diffusion in probability theory and stochastic calculus and discusses topics in materials science and metallurgy, such as defect-diffusion, radiation damage, and spinodal decomposition. In addition, he addresses the impact of translational/rotational diffusion on experimental data and covers reaction-diffusion equations in biology. Focusing on diffusion in the quantum domain, the book also investigates dissipative tunneling, Landau diamagnetism, coherence-to-decoherence transition, quantum information processes, and electron localization.
Author: Peter Grindrod
Publisher:
ISBN:
Category : Reaction-diffusion equations
Languages : en
Pages : 275
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Book Description
