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Author : Philip M. McCabe
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (595 download)
Download or read book The Mathematical Analysis of a Class of Singular Reaction-diffusion Systems written by Philip M. McCabe and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gabriela Caristi
Publisher : CRC Press
ISBN 13 : 1000117197
Total Pages : 428 pages
Book Rating : 4.0/5 (1 download)
Download or read book Reaction Diffusion Systems written by Gabriela Caristi and published by CRC Press. This book was released on 2020-10-07 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy. Presents new research papers and state-of-the-art surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications. Furnishes incisive contribution by over 40 mathematicians representing renowned institutions in North and South America, Europe, and the Middle East."
Author : Masaharu Taniguchi
Publisher :
ISBN 13 : 9784864970976
Total Pages : 0 pages
Book Rating : 4.9/5 (79 download)
Download or read book Traveling Front Solutions in Reaction-Diffusion Equations written by Masaharu Taniguchi and published by . This book was released on 2021-05-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study on traveling fronts in reaction-diffusion equations is the first step to understand various kinds of propagation phenomena in reaction-diffusion models in natural science. One dimensional traveling fronts have been studied from the 1970s, and multidimensional ones have been studied from around 2005. This volume is a text book for graduate students to start their studies on traveling fronts. Using the phase plane analysis, we study the existence of traveling fronts in several kinds of reaction-diffusion equations. For a nonlinear reaction term, a bistable one is a typical one. For a bistable reaction-diffusion equation, we study the existence and stability of two-dimensional V-form fronts, and we also study pyramidal traveling fronts in three or higher space dimensions. The cross section of a pyramidal traveling front forms a convex polygon. It is known that the limit of a pyramidal traveling front gives a new multidimensional traveling front. For the study the multidimensional traveling front, studying properties of pyramidal traveling fronts plays an important role. In this volume, we study the existence, uniqueness and stability of a pyramidal traveling front as clearly as possible for further studies by graduate students. For a help of their studies, we briefly explain and prove the well-posedness of reaction-diffusion equations and the Schauder estimates and the maximum principles of solutions.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
Author : Arnaud Ducrot
Publisher : Editions Publibook
ISBN 13 : 2748346319
Total Pages : 119 pages
Book Rating : 4.7/5 (483 download)
Download or read book Reaction-diffusion Waves written by Arnaud Ducrot and published by Editions Publibook. This book was released on 2009 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Prof. Dr. Pavol Quittner
Publisher : Springer
ISBN 13 : 3030182223
Total Pages : 719 pages
Book Rating : 4.0/5 (31 download)
Download or read book Superlinear Parabolic Problems written by Prof. Dr. Pavol Quittner and published by Springer. This book was released on 2019-06-13 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.
Author : Dung Le
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110795132
Total Pages : 236 pages
Book Rating : 4.1/5 (17 download)
Download or read book Cross Diffusion Systems written by Dung Le and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.
Author : John Crank
Publisher : Oxford University Press
ISBN 13 : 9780198534112
Total Pages : 428 pages
Book Rating : 4.5/5 (341 download)
Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Author : Wei-Ming Ni
Publisher : SIAM
ISBN 13 : 1611971969
Total Pages : 118 pages
Book Rating : 4.6/5 (119 download)
Download or read book The Mathematics of Diffusion written by Wei-Ming Ni and published by SIAM. This book was released on 2011-10-13 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements and spatial heterogeneity in the classical Lotka–Volterra competition systems. Interspersed throughout the book are many simple, fundamental and important open problems for readers to investigate.
Author : William Strieder
Publisher : Springer Science & Business Media
ISBN 13 : 3642656242
Total Pages : 121 pages
Book Rating : 4.6/5 (426 download)
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.
Author : Gabriela Caristi
Publisher : CRC Press
ISBN 13 : 1000153746
Total Pages : 432 pages
Book Rating : 4.0/5 (1 download)
Download or read book Reaction Diffusion Systems written by Gabriela Caristi and published by CRC Press. This book was released on 2020-10-07 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy. Presents new research papers and state-of-the-art surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications. Furnishes incisive contribution by over 40 mathematicians representing renowned institutions in North and South America, Europe, and the Middle East."
Author : Pierpaolo Esposito
Publisher : American Mathematical Soc.
ISBN 13 : 0821849573
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS written by Pierpaolo Esposito and published by American Mathematical Soc.. This book was released on 2010 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Micro- and nanoelectromechanical systems (MEMS and NEMS), which combine electronics with miniature-size mechanical devices, are essential components of modern technology. This title offers an introduction to many methods of nonlinear analysis and PDEs through the analysis of a set of equations that have enormous practical significance.
Author : Franz Rothe
Publisher : Springer
ISBN 13 : 3540389172
Total Pages : 222 pages
Book Rating : 4.5/5 (43 download)
Download or read book Global Solutions of Reaction-Diffusion Systems written by Franz Rothe and published by Springer. This book was released on 2006-12-08 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hiroyasu Takase
Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.:/5 (118 download)
Download or read book Qualitative Analysis of Systems of Reaction-diffusion Equations written by Hiroyasu Takase and published by . This book was released on 1999 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tatsien Li
Publisher : World Scientific
ISBN 13 : 9814547840
Total Pages : 242 pages
Book Rating : 4.8/5 (145 download)
Download or read book Reaction-diffusion Equations And Their Applications And Computational Aspects - Proceedings Of The China-japan Symposium written by Tatsien Li and published by World Scientific. This book was released on 1997-02-03 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the symposium was to provide a forum for presenting and discussing recent developments and trends in Reaction-diffusion Equations and to promote scientific exchanges among mathematicians in China and in Japan, especially for the younger generation. The topics discussed were: Layer dynamics, Traveling wave solutions and its stability, Equilibrium solutions and its limit behavior (stability), Bifurcation phenomena, Computational solutions, and Infinite dimensional dynamical system.
Author : D. Hilhorst
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (897 download)
Download or read book Singular Limit of a Class of Non-cooperative Reaction-diffusion Systems written by D. Hilhorst and published by . This book was released on 2002 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yuanyuan Ke
Publisher : Springer Nature
ISBN 13 : 981193763X
Total Pages : 418 pages
Book Rating : 4.8/5 (119 download)
Download or read book Analysis of Reaction-Diffusion Models with the Taxis Mechanism written by Yuanyuan Ke and published by Springer Nature. This book was released on 2022-08-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a priori estimates. This book addresses applied mathematics and all researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course in applied mathematics.
Author : Desineni S. Naidu
Publisher : IET
ISBN 13 : 9780863411076
Total Pages : 314 pages
Book Rating : 4.4/5 (11 download)
Download or read book Singular Perturbation Methodology in Control Systems written by Desineni S. Naidu and published by IET. This book was released on 1988 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).
