Stability Instability And Direct Integrals

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Stability Instability And Direct Integrals

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Author : B Scarpellini
language : en
Publisher: CRC Press
Release Date : 1999-01-29

Stability Instability And Direct Integrals written by B Scarpellini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-29 with Mathematics categories.

In this masterful study, the author sets forth a unique treatment of the stability and instability of the periodic equilibria of partial differential equations as they relate to the notion of direct integrals. His results, and to a large extent his methods are new. Although he aims this work at theory rather than applications, once the theoretical framework is built, applications emerge with ease. Readers with some basis in functional analysis-notably semigroups-and measure theory can strengthen their background through its introductory material on direct integrals and its proofs worked out in detail. In Stability, Instability and Direct Integrals, applied and pure mathematicians and theoretical physicists can discover from an acknowledged innovator the most recent results of research in this active and expanding field.

Stability Instability And Direct Integrals

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Author : Bruno Scarpellini
language : en
Publisher: Longman Publishing Group
Release Date : 1999

Stability Instability And Direct Integrals written by Bruno Scarpellini and has been published by Longman Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Differential equations, Parabolic categories.

In this study, the author sets forth a unique treatment of the stability and instability of the periodic equilibria of PDE's as they relate to the notion of direct integrals. His results, and to a large extent his methods, are new. Although he aims this work at theory rather than applications, once the theoretical framework is built, applications emerge with ease. Readers with some basis in functional analysis - notably semigroups - and measure theory can strengthen their background through its introductory material on direct integrals and its proofs worked out in detail. In Stability, Instability, and Direct Integrals, applied and pure mathematicians and theoretical physicists can discover from an acknowledged innovator the most recent results of research in this active and expanding field. Readership: This book should be of interest to applied and pure mathematicians and theoretical physicists.

Ergodic Theory Analysis And Efficient Simulation Of Dynamical Systems

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Author : Bernold Fiedler
language : en
Publisher: Springer Science & Business Media
Release Date : 2001

Ergodic Theory Analysis And Efficient Simulation Of Dynamical Systems written by Bernold Fiedler 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 2001 with Mathematics categories.

This book summarizes and highlights progress in Dynamical Systems achieved during six years of the German Priority Research Program "Ergotic Theory, Analysis, and Efficient Simulation of Dynamical Systems", funded by the Deutsche Forschungsgemeinschaft (DFG). The three fundamental topics of large time behavior, dimension, and measure are tackled with by a rich circle of uncompromisingly rigorous mathematical concepts. The range of applied issues comprises such diverse areas as crystallization and dendrite growth, the dynamo effect, efficient simulation of biomolecules, fluid dynamics and reacting flows, mechanical problems involving friction, population biology, the spread of infectious diseases, and quantum chaos. The surveys in the book are addressed to experts and non-experts in the mathematical community alike. In addition they intend to convey the significance of the results for applications fair into the neighboring disciplines of Science.

Equadiff 99 In 2 Volumes Proceedings Of The International Conference On Differential Equations

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Author : Bernold Fiedler
language : en
Publisher: World Scientific
Release Date : 2000-09-05

Equadiff 99 In 2 Volumes Proceedings Of The International Conference On Differential Equations written by Bernold Fiedler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-05 with Mathematics categories.

This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.

Functional Analysis And Evolution Equations

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Author : Herbert Amann
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-28

Functional Analysis And Evolution Equations written by Herbert Amann 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 2008-02-28 with Mathematics categories.

Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips from 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Gunter Lumer.

Topics In Nonlinear Analysis

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Author : Joachim Escher
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Topics In Nonlinear Analysis written by Joachim Escher 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.

Herbert Amann's work is distinguished and marked by great lucidity and deep mathematical understanding. The present collection of 31 research papers, written by highly distinguished and accomplished mathematicians, reflect his interest and lasting influence in various fields of analysis such as degree and fixed point theory, nonlinear elliptic boundary value problems, abstract evolutions equations, quasi-linear parabolic systems, fluid dynamics, Fourier analysis, and the theory of function spaces. Contributors are A. Ambrosetti, S. Angenent, W. Arendt, M. Badiale, T. Bartsch, Ph. Bénilan, Ph. Clément, E. Faöangová, M. Fila, D. de Figueiredo, G. Gripenberg, G. Da Prato, E.N. Dancer, D. Daners, E. DiBenedetto, D.J. Diller, J. Escher, G.P. Galdi, Y. Giga, T. Hagen, D.D. Hai, M. Hieber, H. Hofer, C. Imbusch, K. Ito, P. Krejcí, S.-O. Londen, A. Lunardi, T. Miyakawa, P. Quittner, J. Prüss, V.V. Pukhnachov, P.J. Rabier, P.H. Rabinowitz, M. Renardy, B. Scarpellini, B.J. Schmitt, K. Schmitt, G. Simonett, H. Sohr, V.A. Solonnikov, J. Sprekels, M. Struwe, H. Triebel, W. von Wahl, M. Wiegner, K. Wysocki, E. Zehnder and S. Zheng.

International Conference On Differential Equations Berlin Germany 1 7 August 1999

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Author : Bernold Fiedler
language : en
Publisher: World Scientific
Release Date : 2000

International Conference On Differential Equations Berlin Germany 1 7 August 1999 written by Bernold Fiedler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Differential equations categories.

This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences

Differential And Integral Equations

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Author :
language : en
Publisher:
Release Date : 2003

Differential And Integral Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Differential equations categories.

On The Stability Of Direct Quadrature Rules For Second Kind Volterra Integral Equations

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Author : Pieter J. van der Houwen
language : en
Publisher:
Release Date : 1979

On The Stability Of Direct Quadrature Rules For Second Kind Volterra Integral Equations written by Pieter J. van der Houwen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.

Nonlinear Pdes A Dynamical Systems Approach

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Author : Guido Schneider
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-10-26

Nonlinear Pdes A Dynamical Systems Approach written by Guido Schneider and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-26 with Differential equations, Nonlinear categories.

This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs. The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrödinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given. The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.