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Author : Mark Allen O'Donnell
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (15 download)
Download or read book Boundary and Interior Layer Behavior in Singularly Perturbed Nonlinear Systems written by Mark Allen O'Donnell and published by . This book was released on 1982 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. A. Howes
Publisher : American Mathematical Soc.
ISBN 13 : 9780821822036
Total Pages : 108 pages
Book Rating : 4.8/5 (22 download)
Download or read book Boundary-Interior Layer Interactions in Nonlinear Singular Perturbation Theory written by F. A. Howes and published by American Mathematical Soc.. This book was released on 1978 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. W. Chang
Publisher : Springer Science & Business Media
ISBN 13 : 146121114X
Total Pages : 191 pages
Book Rating : 4.4/5 (612 download)
Download or read book Nonlinear Singular Perturbation Phenomena written by K. W. Chang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our purpose in writing this monograph is twofold. On the one hand, we want to collect in one place many of the recent results on the exist ence and asymptotic behavior of solutions of certain classes of singularly perturbed nonlinear boundary value problems. On the other, we hope to raise along the way a number of questions for further study, mostly ques tions we ourselves are unable to answer. The presentation involves a study of both scalar and vector boundary value problems for ordinary dif ferential equations, by means of the consistent use of differential in equality techniques. Our results for scalar boundary value problems obeying some type of maximum principle are fairly complete; however, we have been unable to treat, under any circumstances, problems involving "resonant" behavior. The linear theory for such problems is incredibly complicated already, and at the present time there appears to be little hope for any kind of general nonlinear theory. Our results for vector boundary value problems, even those admitting higher dimensional maximum principles in the form of invariant regions, are also far from complete. We offer them with some trepidation, in the hope that they may stimulate further work in this challenging and important area of differential equa tions. The research summarized here has been made possible by the support over the years of the National Science Foundation and the National Science and Engineering Research Council.
Author : Albert James DeSanti
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (19 download)
Download or read book Boundary and Interior Layer Behavior of Solutions of Some Singularly Perturbed Semilinear Elliptic Boundary Value Problems written by Albert James DeSanti and published by . This book was released on 1984 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frederick A. Howes
Publisher : American Mathematical Soc.
ISBN 13 : 0821822039
Total Pages : 116 pages
Book Rating : 4.8/5 (218 download)
Download or read book Boundary-Interior Layer Interactions in Nonlinear Singular Perturbation Theory written by Frederick A. Howes and published by American Mathematical Soc.. This book was released on 1978 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: For three classes of singularly perturbed boundary value problems we study the existence of solutions which possess boundary, shock and corner layer behavior and we examine how these nonuniformities arise and how they influence one another. The keys to our analysis are the stability properties of solutions of corresponding reduced problems and the geometric properties of solutions of the boundary value problems inside such layers. Several examples of the theory are discussed in detail with a view to illustrating the naturalness of our approach.
Author : Vladimir D. Liseikin
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110941945
Total Pages : 300 pages
Book Rating : 4.1/5 (19 download)
Download or read book Layer Resolving Grids and Transformations for Singular Perturbation Problems written by Vladimir D. Liseikin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approach of layer-damping coordinate transformations to treat singularly perturbed equations is a relatively new, and fast growing area in the field of applied mathematics. This monograph aims to present a clear, concise, and easily understandable description of the qualitative properties of solutions to singularly perturbed problems as well as of the essential elements, methods and codes of the technology adjusted to numerical solutions of equations with singularities by applying layer-damping coordinate transformations and corresponding layer-resolving grids. The first part of the book deals with an analytical study of estimates of the solutions and their derivatives in layers of singularities as well as suitable techniques for obtaining results. In the second part, a technique for building the coordinate transformations eliminating boundary and interior layers, is presented. Numerical algorithms based on the technique which is developed for generating layer-damping coordinate transformations and their corresponding layer-resolving meshes are presented in the final part of this volume. This book will be of value and interest to researchers in computational and applied mathematics.
Author : Louis R. Hunt
Publisher :
ISBN 13 : 9780915692378
Total Pages : 466 pages
Book Rating : 4.6/5 (923 download)
Download or read book Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control and Fluid Dynamics written by Louis R. Hunt and published by . This book was released on 1984 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald R. Smith
Publisher : Cambridge University Press
ISBN 13 : 9780521300421
Total Pages : 532 pages
Book Rating : 4.3/5 (4 download)
Download or read book Singular-Perturbation Theory written by Donald R. Smith and published by Cambridge University Press. This book was released on 1985-08-30 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to singular perturbation problems. Since the nature of the nonuniformity can vary from case to case, the author considers and solves a variety of problems, mostly for ordinary differential equations.
Author : Charles Gene Lange
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.:/5 (387 download)
Download or read book Singular Perturbation Analysis of Boundary-value Problems for Differential-difference Equations written by Charles Gene Lange and published by . This book was released on 1992 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Debasis Giri
Publisher : Springer Nature
ISBN 13 : 9819720699
Total Pages : 270 pages
Book Rating : 4.8/5 (197 download)
Download or read book Proceedings of the Tenth International Conference on Mathematics and Computing written by Debasis Giri and published by Springer Nature. This book was released on with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhongyi Huang
Publisher : Springer
ISBN 13 : 9783319883946
Total Pages : 0 pages
Book Rating : 4.8/5 (839 download)
Download or read book Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 written by Zhongyi Huang and published by Springer. This book was released on 2018-08-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena. The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics. This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.
Author : Robert Stephen Cantrell
Publisher : John Wiley & Sons
ISBN 13 : 0470871288
Total Pages : 428 pages
Book Rating : 4.4/5 (78 download)
Download or read book Spatial Ecology via Reaction-Diffusion Equations written by Robert Stephen Cantrell and published by John Wiley & Sons. This book was released on 2004-01-09 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using reaction-diffusion models. * Rapidly expanding area of research for biologists and applied mathematicians * Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models * Provides the reader with the tools needed to construct and interpret models * Offers specific applications of both the models and the methods * Authors have played a dominant role in the field for years Essential reading for graduate students and researchers working with spatial modelling from mathematics, statistics, ecology, geography and biology.
Author : C.M. Brauner
Publisher : Springer
ISBN 13 : 3540373403
Total Pages : 551 pages
Book Rating : 4.5/5 (43 download)
Download or read book Singular Perturbations and Boundary Layer Theory written by C.M. Brauner and published by Springer. This book was released on 2006-11-15 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guy Métivier
Publisher : Springer Science & Business Media
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (318 download)
Download or read book Small Viscosity and Boundary Layer Methods written by Guy Métivier and published by Springer Science & Business Media. This book was released on 2004 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has evolved from lectures and graduate courses given in Brescia (Italy), Bordeaux and Toulouse (France};' It is intended to serve as an introƯ duction to the stability analysis of noncharacteristic multidimensional small viscosity boundary layers developed in (MZl]. We consider parabolic singular perturbations of hyperbolic systems L(u) - £P(u) = 0, where L is a nonlinear hyperbolic first order system and P a nonlinear spatially elliptic term. The parameter e measures the strength of the diffusive effects. With obvious reference to fluid mechanics, it is referred to as a "viscosity." The equation holds on a domain n and is supplemented by boundary conditions on an. The main goal of this book is to studythe behavior of solutions as etends to O. In the interior of the domain, the diffusive effects are negligible and the nondiffusive or inviscid equations (s = 0) are good approximations. However, the diffusive effects remain important in a small vicinity of the boundary where they induce rapid fluctuations of the solution, called layers. Boundary layers occur in many problems in physics and mechanics. They also occur in free boundary value problems, and in particular in the analysis of shock waves. Indeed, our study of noncharacteristic boundary layers is strongly motivated by the analysis of multidimensional shock waves. At the least, it is a necessary preliminary and important step. We also recall the importance of the viscous approach in the theoretical analysis ofconservation laws (see, e.g., [Lax], (Kru], (Bi-Br])
Author : Paul C. Fife
Publisher : SIAM
ISBN 13 : 9781611970180
Total Pages : 99 pages
Book Rating : 4.9/5 (71 download)
Download or read book Dynamics of Internal Layers and Diffusive Interfaces written by Paul C. Fife and published by SIAM. This book was released on 1988-01-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interfacial phenomena are commonplace in physics, chemistry, biology, and in various disciplines bridging these fields. They occur whenever a continuum is present which can exist in at least two different chemical or physical "states," and there is some mechanism which generates or enforces a spatial separation between these states. The separation boundary is then called an interface. In the examples studied here, the separation boundary, and its internal structure, result from the balance between two opposing tendencies: a diffusive effect which attempts to mix and smooth the properties of the material, and a physical or chemical mechanism which works to drive it to one or the other pure state. This volume is unique in that the treatment of flames, as well as internal layer dynamics "including curvature effects," is more detailed and systematic than in publications.
Author : John Spellman Jeffries
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.:/5 (318 download)
Download or read book Boundary Layer and Shock Layer Solutions to Singularly Perturbed Boundary Value Problems written by John Spellman Jeffries and published by . This book was released on 1987 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1000 pages
Book Rating : 4.:/5 (31 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1975 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt:
