Systemes Dynamiques Dissipatifs Et Applications

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An Introduction To Nonautonomous Dynamical Systems And Their Attractors

Author : Peter Kloeden
Publisher : World Scientific
ISBN 13 : 9811228671
Total Pages : 157 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis An Introduction To Nonautonomous Dynamical Systems And Their Attractors by : Peter Kloeden

Download or read book An Introduction To Nonautonomous Dynamical Systems And Their Attractors written by Peter Kloeden and published by World Scientific. This book was released on 2020-11-25 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself. Consequently, limiting objects may not exist in actual time as in autonomous systems. New concepts of attractors in nonautonomous dynamical system are thus required.In addition, the definition of a dynamical system itself needs to be generalised to the nonautonomous context. Here two possibilities are considered: two-parameter semigroups or processes and the skew product flows. Their attractors are defined in terms of families of sets that are mapped onto each other under the dynamics rather than a single set as in autonomous systems. Two types of attraction are now possible: pullback attraction, which depends on the behaviour from the system in the distant past, and forward attraction, which depends on the behaviour of the system in the distant future. These are generally independent of each other.The component subsets of pullback and forward attractors exist in actual time. The asymptotic behaviour in the future limit is characterised by omega-limit sets, in terms of which form what are called forward attracting sets. They are generally not invariant in the conventional sense, but are asymptotically invariant in general and, if the future dynamics is appropriately uniform, also asymptotically negatively invariant.Much of this book is based on lectures given by the authors in Frankfurt and Wuhan. It was written mainly when the first author held a 'Thousand Expert' Professorship at the Huazhong University of Science and Technology in Wuhan.

Handbook of Dynamical Systems

Author : B. Fiedler
Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Fiedler

Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Systèmes dynamiques dissipatifs et applications

Author : Alain Haraux
Publisher : Elsevier Masson
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Systèmes dynamiques dissipatifs et applications by : Alain Haraux

Download or read book Systèmes dynamiques dissipatifs et applications written by Alain Haraux and published by Elsevier Masson. This book was released on 1991 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999

Author : Bernold Fiedler
Publisher : World Scientific
ISBN 13 : 9789810249885
Total Pages : 846 pages
Book Rating : 4.2/5 (498 download)

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Book Synopsis International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 by : Bernold Fiedler

Download or read book International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 written by Bernold Fiedler and published by World Scientific. This book was released on 2000 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Partial Differential Equations and Functional Analysis

Author : Andrew Comech
Publisher : Springer Nature
ISBN 13 : 303133681X
Total Pages : 334 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Partial Differential Equations and Functional Analysis by : Andrew Comech

Download or read book Partial Differential Equations and Functional Analysis written by Andrew Comech and published by Springer Nature. This book was released on 2023-11-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental in integrating the methods of functional analysis into this theory. The book is based on the memoirs of his friends and students, as well as on the recollections of Mark Vishik himself, and contains a detailed description of his biography: childhood in Lwów, his connections with the famous Lwów school of Stefan Banach, a difficult several year long journey from Lwów to Tbilisi after the Nazi assault in June 1941, going to Moscow and forming his own school of differential equations, whose central role was played by the famous Vishik Seminar at the Department of Mechanics and Mathematics at Moscow State University. The reader is introduced to a number of remarkable scientists whose lives intersected with Vishik’s, including S. Banach, J. Schauder, I. N. Vekua, N. I. Muskhelishvili, L. A. Lyusternik, I. G. Petrovskii, S. L. Sobolev, I. M. Gelfand, M. G. Krein, A. N. Kolmogorov, N. I. Akhiezer, J. Leray, J.-L. Lions, L. Schwartz, L. Nirenberg, and many others. The book also provides a detailed description of the main research directions of Mark Vishik written by his students and colleagues, as well as several reviews of the recent development in these directions.

Analytic Inequalities and Their Applications in PDEs

Author : Yuming Qin
Publisher : Birkhäuser
ISBN 13 : 3319008315
Total Pages : 570 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Analytic Inequalities and Their Applications in PDEs by : Yuming Qin

Download or read book Analytic Inequalities and Their Applications in PDEs written by Yuming Qin and published by Birkhäuser. This book was released on 2017-02-13 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a number of analytic inequalities and their applications in partial differential equations. These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. Summarizing results from a vast number of literature sources such as published papers, preprints and books, it categorizes inequalities in terms of their different properties.

Differential Equations And Control Theory

Author : Sergiu Aizicovici
Publisher : CRC Press
ISBN 13 : 9780203902189
Total Pages : 348 pages
Book Rating : 4.9/5 (21 download)

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Book Synopsis Differential Equations And Control Theory by : Sergiu Aizicovici

Download or read book Differential Equations And Control Theory written by Sergiu Aizicovici and published by CRC Press. This book was released on 2001-10-02 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.

Some Problems On Nonlinear Hyperbolic Equations And Applications

Author : Tatsien Li
Publisher : World Scientific
ISBN 13 : 981446404X
Total Pages : 464 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Some Problems On Nonlinear Hyperbolic Equations And Applications by : Tatsien Li

Download or read book Some Problems On Nonlinear Hyperbolic Equations And Applications written by Tatsien Li and published by World Scientific. This book was released on 2010-09-21 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.

Evolution Equations, Semigroups and Functional Analysis

Author : Brunello Terreni
Publisher : Springer Science & Business Media
ISBN 13 : 9783764367916
Total Pages : 426 pages
Book Rating : 4.3/5 (679 download)

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Book Synopsis Evolution Equations, Semigroups and Functional Analysis by : Brunello Terreni

Download or read book Evolution Equations, Semigroups and Functional Analysis written by Brunello Terreni and published by Springer Science & Business Media. This book was released on 2002 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

Optimization

Author : Van Hien Nguyen
Publisher : Springer Science & Business Media
ISBN 13 : 3642570143
Total Pages : 512 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Optimization by : Van Hien Nguyen

Download or read book Optimization written by Van Hien Nguyen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 9th Belgian-French-German Conference on Optimization has been held in Namur (Belgium) on September 7-11, 1998. This volume is a collection of papers presented at this Conference. Originally, this Conference was a French-German Conference but this year, in accordance with the organizers' wishes, a third country, Belgium, has joined the founding members of the Conference. Hence the name: Belgian French-German Conference on Optimization. Since the very beginning, the purpose of these Conferences has been to bring together researchers working in the area of Optimization and partic ularly to encourage young researchers to present their work. Most of the participants come from the organizing countries. However the general ten dancy is to invite outside researchers to attend the meeting. So this year, among the 101 participants at this Conference, twenty researchers came from other countries. The general theme of the Conference is everything that concerns the area of Optimization without specification of particular topics. So theoretical as pects of Optimization, in addition to applications and algorithms of Opti mization, will be developed. However, and this point was very important for the organizers, the Conference must retain its convivial character. No more than two parallel sessions are organized. This would allow useful contacts between researchers to be promoted. The editors express their sincere thanks to all those who took part in this Conference. Their invaluable discussions have made this volume possible.

Nonlinear Evolution Equations and Related Topics

Author : Wolfgang Arendt
Publisher : Birkhäuser
ISBN 13 : 3034879245
Total Pages : 803 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Nonlinear Evolution Equations and Related Topics by : Wolfgang Arendt

Download or read book Nonlinear Evolution Equations and Related Topics written by Wolfgang Arendt and published by Birkhäuser. This book was released on 2012-12-06 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.

Evolution Equations, Semigroups and Functional Analysis

Author : Alfredo Lorenzi
Publisher : Birkhäuser
ISBN 13 : 3034882211
Total Pages : 404 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Evolution Equations, Semigroups and Functional Analysis by : Alfredo Lorenzi

Download or read book Evolution Equations, Semigroups and Functional Analysis written by Alfredo Lorenzi and published by Birkhäuser. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.

Progress in Partial Differential Equations

Author : Herbert Amann
Publisher : CRC Press
ISBN 13 : 9780582317086
Total Pages : 212 pages
Book Rating : 4.3/5 (17 download)

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Book Synopsis Progress in Partial Differential Equations by : Herbert Amann

Download or read book Progress in Partial Differential Equations written by Herbert Amann and published by CRC Press. This book was released on 1998-04-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

Control of Partial Differential Equations

Author : Fatiha Alabau-Boussouira
Publisher : Springer
ISBN 13 : 3642278930
Total Pages : 355 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Control of Partial Differential Equations by : Fatiha Alabau-Boussouira

Download or read book Control of Partial Differential Equations written by Fatiha Alabau-Boussouira and published by Springer. This book was released on 2012-04-23 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term “control theory” refers to the body of results - theoretical, numerical and algorithmic - which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19 - 23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research.

An Introduction to Semiflows

Author : Albert J. Milani
Publisher : CRC Press
ISBN 13 : 1420035118
Total Pages : 403 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Semiflows by : Albert J. Milani

Download or read book An Introduction to Semiflows written by Albert J. Milani and published by CRC Press. This book was released on 2004-10-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The auth

Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors

Author : Yuming Qin
Publisher : Springer Science & Business Media
ISBN 13 : 3764388145
Total Pages : 472 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors by : Yuming Qin

Download or read book Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors written by Yuming Qin and published by Springer Science & Business Media. This book was released on 2008-11-25 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.

Nonlinear Vibrations and the Wave Equation

Author : Alain Haraux
Publisher : Springer
ISBN 13 : 331978515X
Total Pages : 110 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Nonlinear Vibrations and the Wave Equation by : Alain Haraux

Download or read book Nonlinear Vibrations and the Wave Equation written by Alain Haraux and published by Springer. This book was released on 2018-05-02 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.