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Author : Abdullah Mohammed Aldurayhim
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)
Download or read book Propagating Waves in Reaction Cross-diffusion Systems written by Abdullah Mohammed Aldurayhim and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. H. Merkin
Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (633 download)
Download or read book Propagation of Waves in Reaction-diffusion Systems: Applications to Biology and Chemistry written by J. H. Merkin and published by . This book was released on 2007 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : Brian H. Gilding
Publisher : Birkhäuser
ISBN 13 : 3034879644
Total Pages : 214 pages
Book Rating : 4.0/5 (348 download)
Download or read book Travelling Waves in Nonlinear Diffusion-Convection Reaction written by Brian H. Gilding and published by Birkhäuser. This book was released on 2012-12-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph has grown out of research we started in 1987, although the foun dations were laid in the 1970's when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion. Brian worked under the guidance of Bert Peletier at the University of Sussex in Brighton, England, and, later at Delft University of Technology in the Netherlands on extending the earlier mathematics to include nonlinear convection; while Robert worked at Lomonosov State Univer sity in Moscow under the supervision of Anatolii Kalashnikov on generalizing the earlier mathematics to include nonlinear absorption. We first met at a conference held in Rome in 1985. In 1987 we met again in Madrid at the invitation of Ildefonso Diaz, where we were both staying at 'La Residencia'. As providence would have it, the University 'Complutense' closed down during this visit in response to student demonstra tions, and, we were very much left to our own devices. It was natural that we should gravitate to a research topic of common interest. This turned out to be the characterization of the phenomenon of finite speed of propagation for nonlin ear reaction-convection-diffusion equations. Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption. There was no question but that we bundle our efforts on the general situation.
Author : Paul C. Fife
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (227 download)
Download or read book Propagating Waves and Target Patterns in Chemical Systems written by Paul C. Fife and published by . This book was released on 1980 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of models for target patterns (concentric circular waves emanating from a point called the leading center) is constructed in the context of singularly perturbed reaction-diffusion systems of partial differential equations. First, the theory of wave fronts is detailed for scalar equations and systems of equations. A scaling method reduces complex waves to the consideration of a group of simple wave phenomena. It is shown that expanding wave fronts can be generated spontaneously at a point. This process, together with the laws of their subsequent motion, reduces the problem to an ordinary differential initial value problem, whose solution is required to have certain properties. A discussion is given of the connection between these results and experimental observations. (Author).
Author : P. David
Publisher : Elsevier
ISBN 13 : 1483153371
Total Pages : 345 pages
Book Rating : 4.4/5 (831 download)
Download or read book Propagation of Waves written by P. David and published by Elsevier. This book was released on 2013-10-22 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Propagation of Waves focuses on the wave propagation around the earth, which is influenced by its curvature, surface irregularities, and by passage through atmospheric layers that may be refracting, absorbing, or ionized. This book begins by outlining the behavior of waves in the various media and at their interfaces, which simplifies the basic phenomena, such as absorption, refraction, reflection, and interference. Applications to the case of the terrestrial sphere are also discussed as a natural generalization. Following the deliberation on the diffraction of the “ground wave around the earth, this text summarizes the role and properties of the troposphere and ionosphere from a general physical point of view. Examples and maps are provided to illustrate the use of the various methods in the determination of ranges or favorable wavelengths. A brief discussion on problems encountered in the field of space communications is also included. This publication is a good source for students and individuals researching on wave propagation, specifically on the principles of radiation and propagation in a homogeneous, isotropy, and lossless dielectric.
Author : Timothy Brent Fullwood
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (596 download)
Download or read book Pattern Formation and Travelling Waves in Reaction-diffusion Equations written by Timothy Brent Fullwood and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : University of Minnesota. Institute for Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (123 download)
Download or read book Generation and Propagation of Interfaces in Reaction Diffusion Systems written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1990 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joel Smoller
Publisher :
ISBN 13 : 9781461208747
Total Pages : 660 pages
Book Rating : 4.2/5 (87 download)
Download or read book Shock Waves and Reaction -Diffusion Equations written by Joel Smoller and published by . This book was released on 1994-10-14 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhengyuan Li
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (897 download)
Download or read book Monotonicity of Travelling Wave Solutions for Reaction-diffusion Systems and Its Applications written by Zhengyuan Li and published by . This book was released on 1995 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Grindrod
Publisher :
ISBN 13 :
Total Pages : 275 pages
Book Rating : 4.:/5 (262 download)
Download or read book Patterns and Waves written by Peter Grindrod and published by . This book was released on 1996 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Barles
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (215 download)
Download or read book Wavefront Propagation for Reaction-diffusion Systems of PDE written by G. Barles and published by . This book was released on 1989 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download Wave Propagation in a Coupled Reaction-diffusion System [microform] PDF Online Free](https://books.google.com/books/content/images/frontcover/oNHZjgEACAAJ?fife=w200-h370)
Author : Pak Ki Jacky Li
Publisher : National Library of Canada = Bibliothèque nationale du Canada
ISBN 13 : 9780612794955
Total Pages : 136 pages
Book Rating : 4.7/5 (949 download)
Download or read book Wave Propagation in a Coupled Reaction-diffusion System [microform] written by Pak Ki Jacky Li and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 2002 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald S. Cohen
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (227 download)
Download or read book Rotating Spiral Waves and Oscillations in Reaction-Diffusion Equations written by Donald S. Cohen and published by . This book was released on 1979 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Rinzel
Publisher :
ISBN 13 :
Total Pages : 63 pages
Book Rating : 4.:/5 (227 download)
Download or read book Propagation Phenomena in a Bistable Reaction Diffusion System written by John Rinzel and published by . This book was released on 1981 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consideration is given to a system of reaction diffusion equations which have qualitative significance for several applications including nerve conduction and distributed chemical/biochemical systems. These equations are of the FitzHugh-Nagumo type and contain three parameters. For certain ranges of the parameters the system exhibits two stable singular points. A singular perturbation construction is given to illustrate that there may exist both pulse type and transition type traveling waves. A complete, rigorous, description of which of these waves exist for a given set of parameters and how the velocities of the waves vary with the parameters is given for the case when the system has a piecewise linear nonlinearity. Numerical results of solutions to these equations are also presented. These calculations illustrate how waves are generated from initial data, how they interact during collisions, and how they are influenced by local disturbances and boundary conditions.
Author : Julian L. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461238862
Total Pages : 396 pages
Book Rating : 4.4/5 (612 download)
Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
