Threshold Phenomena In Nonlinear Diffusion Equations

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Threshold Phenomena In Nonlinear Diffusion Equations

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Author : David Hillel Terman
language : en
Publisher:
Release Date : 1980

Threshold Phenomena In Nonlinear Diffusion Equations written by David Hillel Terman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

Nonlinear Parabolic And Elliptic Equations

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Author : C.V. Pao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Parabolic And Elliptic Equations written by C.V. Pao 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 2012-12-06 with Mathematics categories.

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.

Handbook Of Dynamical Systems

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Author : B. Fiedler
language : en
Publisher: Gulf Professional Publishing
Release Date : 2002-02-21

Handbook Of Dynamical Systems written by B. Fiedler and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-21 with Science categories.

This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

Systems Of Nonlinear Partial Differential Equations

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Author : A.W. Leung
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Systems Of Nonlinear Partial Differential Equations written by A.W. Leung 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 2013-03-09 with Mathematics categories.

'Et moi ..., si j'avait su comment en reveru.r, One service mathematics has rendered the je n'y scrais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Equadiff 95 Proceedings Of The International Conference On Differential Equations

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Author : L Magalhaes
language : en
Publisher: World Scientific
Release Date : 1998-04-30

Equadiff 95 Proceedings Of The International Conference On Differential Equations written by L Magalhaes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-30 with categories.

In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.

Shock Waves And Reaction Diffusion Equations

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Author : Joel Smoller
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Shock Waves And Reaction Diffusion Equations written by Joel Smoller 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 2012-12-06 with Science categories.

. . . the progress of physics will to a large extent depend on the progress of nonlinear mathe matics, of methods to solve nonlinear equations . . . and therefore we can learn by comparing different nonlinear problems. WERNER HEISENBERG I undertook to write this book for two reasons. First, I wanted to make easily available the basics of both the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by C. Conley. These important subjects seem difficult to learn since the results are scattered throughout the research journals. 1 Second, I feel that there is a need to present the modern methods and ideas in these fields to a wider audience than just mathe maticians. Thus, the book has some rather sophisticated aspects to it, as well as certain textbook aspects. The latter serve to explain, somewhat, the reason that a book with the title Shock Waves and Reaction-Diffusion Equations has the first nine chapters devoted to linear partial differential equations. More precisely, I have found from my classroom experience that it is far easier to grasp the subtleties of nonlinear partial differential equations after one has an understanding of the basic notions in the linear theory. This book is divided into four main parts: linear theory, reaction diffusion equations, shock wave theory, and the Conley index, in that order. Thus, the text begins with a discussion of ill-posed problems.

Progress In Partial Differential Equations

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Author : Herbert Amann
language : en
Publisher: CRC Press
Release Date : 1998-04-01

Progress In Partial Differential Equations written by Herbert Amann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-01 with Mathematics categories.

The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics ogeneral evolution problems calculus of variations ohomogenization omodeling numerical analysis. The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

Waves In Reaction Diffusion

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Author : Joop Pauwelussen
language : en
Publisher:
Release Date : 1981

Waves In Reaction Diffusion written by Joop Pauwelussen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.

Patterns Of Dynamics

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Author : Pavel Gurevich
language : en
Publisher: Springer
Release Date : 2018-02-07

Patterns Of Dynamics written by Pavel Gurevich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-07 with Mathematics categories.

Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.The contributions build and develop mathematical techniques, and use mathematical approaches for prediction and control of complex systems. The underlying mathematical theories help extract structures from experimental observations and, conversely, shed light on the formation, dynamics, and control of spatio-temporal patterns in applications. Theoretical areas covered include geometric analysis, spatial dynamics, spectral theory, traveling-wave theory, and topological data analysis; also discussed are their applications to chemotaxis, self-organization at interfaces, neuroscience, and transport processes.

Mrc Technical Summary Report

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Author : University of Wisconsin--Madison. Mathematics Research Center
language : en
Publisher:
Release Date : 1982

Mrc Technical Summary Report written by University of Wisconsin--Madison. Mathematics Research Center and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Applied mathematics categories.