Travelling Waves In Nonlinear Diffusion Convection Reaction

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Travelling Waves In Nonlinear Diffusion Convection Reaction

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Author : Brian H. Gilding
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-23

Travelling Waves In Nonlinear Diffusion Convection Reaction written by Brian H. Gilding and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-23 with Mathematics categories.

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.

Travelling Waves In Nonlinear Diffusion Convection Reaction

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Author : Brian H. Gilding
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Travelling Waves In Nonlinear Diffusion Convection Reaction written by Brian H. Gilding and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Travelling Waves In Nonlinear Diffusion Convection Reation

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Author : B. H. Gilding
language : en
Publisher:
Release Date : 2001

Travelling Waves In Nonlinear Diffusion Convection Reation written by B. H. Gilding and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Analysis Applications And Computations

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Author : Uwe Kähler
language : en
Publisher: Springer Nature
Release Date : 2023-10-30

Analysis Applications And Computations written by Uwe Kähler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-30 with Mathematics categories.

This volume contains the contributions of the participants of the 13th International ISAAC Congress 2021, held in Ghent, Belgium. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume provides to both specialists and non-specialists an excellent source of information on current research in mathematical analysis and its various interdisciplinary applications.

Handbook Of Differential Equations Stationary Partial Differential Equations

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Author : Michel Chipot
language : en
Publisher: Elsevier
Release Date : 2007-05-03

Handbook Of Differential Equations Stationary Partial Differential Equations written by Michel Chipot and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-03 with Mathematics categories.

A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.- written by well-known experts in the field- self contained volume in series covering one of the most rapid developing topics in mathematics

Reaction Diffusion Waves

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Author : Arnaud Ducrot
language : en
Publisher: Editions Publibook
Release Date : 2009

Reaction Diffusion Waves written by Arnaud Ducrot and has been published by Editions Publibook this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Differential operators categories.

Discrete And Continuous Dynamical Systems

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Author :
language : en
Publisher:
Release Date : 2008

Discrete And Continuous Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differentiable dynamical systems categories.

Proceedings

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Author :
language : en
Publisher:
Release Date : 2008

Proceedings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Electronic journals categories.

Introduction To Traveling Waves

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Author : Anna R. Ghazaryan
language : en
Publisher: CRC Press
Release Date : 2022-11-14

Introduction To Traveling Waves written by Anna R. Ghazaryan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-14 with Science categories.

Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students. Traveling waves are not typically covered in the undergraduate curriculum, and topics related to traveling waves are usually only covered in research papers, except for a few texts designed for students. This book includes techniques that are not covered in those texts. Through their experience involving undergraduate and graduate students in a research topic related to traveling waves, the authors found that the main difficulty is to provide reading materials that contain the background information sufficient to start a research project without an expectation of an extensive list of prerequisites beyond regular undergraduate coursework. This book meets that need and serves as an entry point into research topics about the existence and stability of traveling waves. Features Self-contained, step-by-step introduction to nonlinear waves written assuming minimal prerequisites, such as an undergraduate course on linear algebra and differential equations. Suitable as a textbook for a special topics course, or as supplementary reading for courses on modeling. Contains numerous examples to support the theoretical material. Supplementary MATLAB codes available via GitHub.

Summer School On Flow And Transport In Porous Media

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Author : Shutie Xiao
language : en
Publisher: World Scientific
Release Date : 1992

Summer School On Flow And Transport In Porous Media written by Shutie Xiao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.

Flow and Transport in Porous Media.