Attractors Of Hamiltonian Nonlinear Partial Differential Equations

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Attractors of Hamiltonian Nonlinear Partial Differential Equations

Author : Alexander Komech
Publisher : Cambridge University Press
ISBN 13 : 100903605X
Total Pages : pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Attractors of Hamiltonian Nonlinear Partial Differential Equations by : Alexander Komech

Download or read book Attractors of Hamiltonian Nonlinear Partial Differential Equations written by Alexander Komech and published by Cambridge University Press. This book was released on 2021-09-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research.

Attractors of Hamiltonian Nonlinear Partial Differential Equations

Author : Alexander Komech
Publisher : Cambridge University Press
ISBN 13 : 1316516911
Total Pages : 229 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Attractors of Hamiltonian Nonlinear Partial Differential Equations by : Alexander Komech

Nonlinear Semigroups, Partial Differential Equations and Attractors

Author : T.L. Gill
Publisher : Springer
ISBN 13 : 3540477918
Total Pages : 194 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Nonlinear Semigroups, Partial Differential Equations and Attractors by : T.L. Gill

Download or read book Nonlinear Semigroups, Partial Differential Equations and Attractors written by T.L. Gill and published by Springer. This book was released on 2006-11-15 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

Nonlinear Partial Differential Equations and Applications

Author : Boling Guo
Publisher : World Scientific
ISBN 13 : 9814544264
Total Pages : 268 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear Partial Differential Equations and Applications by : Boling Guo

Download or read book Nonlinear Partial Differential Equations and Applications written by Boling Guo and published by World Scientific. This book was released on 1998-10-30 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Direct and Inverse Diffraction by Periodic Structures (G Bao)Weak Flow of H-Systems (Y-M Chen)Strongly Compact Attractor for Dissipative Zakharov Equations (B-L Guo et al.)C∞-Solutions of Generalized Porous Medium Equations (M Ôtani & Y Sugiyama)Cauchy Problem for Generalized IMBq Equation (G-W Chen & S-B Wang)Inertial Manifolds for a Nonlocal Kuramoto–Sivashinsky Equation (J-Q Duan et al.)Weak Solutions of the Generalized Magnetic Flow Equations (S-H He & Z-D Dai)The Solution of Hammerstein Integral Equation Without Coercive Conditions (Y-L Shu)Global Behaviour of the Solution of Nonlinear Forest Evolution Equation (D-J Wang)Uniqueness of Generalized Solutions for Semiconductor Equations (J-S Xing & Y Hu)On the Vectorial Hamilton–Jacobi System (B-S Yan)An Integrable Hamiltonian System Associated with cKdV Hierarchy (J-S Zhang et al.)and other papers Readership: Mathematicians. Keywords:Diffraction;Weak Flow;Zakharov Equations;Porous Medium Equations;Cauchy Problem;IMBq Equation;Kuramoto-Sivashinsky Equation;Magnetic Flow Equations;Hammerstein Integral Equation;Nonlinear Forest Evolution Equation;Uniqueness;Generalized Solutions;Semiconductor Equations;HamiltonâJacobi System;Hamiltonian System;cKdV Hierarchy

Nonlinear Oscillations of Hamiltonian PDEs

Author : Massimiliano Berti
Publisher : Springer Science & Business Media
ISBN 13 : 0817646809
Total Pages : 191 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Nonlinear Oscillations of Hamiltonian PDEs by : Massimiliano Berti

Download or read book Nonlinear Oscillations of Hamiltonian PDEs written by Massimiliano Berti and published by Springer Science & Business Media. This book was released on 2007-10-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.

Lectures On Quantum Mechanics And Attractors

Author : Alexander Komech
Publisher : World Scientific
ISBN 13 : 9811248915
Total Pages : 272 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Lectures On Quantum Mechanics And Attractors by : Alexander Komech

Download or read book Lectures On Quantum Mechanics And Attractors written by Alexander Komech and published by World Scientific. This book was released on 2022-02-18 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations.The book is aimed at graduate and advanced undergraduate students in mathematics, physics, and chemistry, as well as at the readers specializing in quantum mechanics, theoretical physics and quantum chemistry, and applications to solid state physics, optics, superconductivity, and quantum and high-frequency electronic devices.The book utilizes elementary mathematical derivations. The presentation assumes only basic knowledge of the origin of Hamiltonian mechanics, Maxwell equations, calculus, Ordinary Differential Equations and basic PDEs. Key topics include the Schrödinger, Pauli, and Dirac equations, the corresponding conservation laws, spin, the hydrogen spectrum, and the Zeeman effect, scattering of light and particles, photoelectric effect, electron diffraction, and relations of quantum postulates with attractors of nonlinear Hamiltonian PDEs. Featuring problem sets and accompanied by extensive contemporary and historical references, this book could be used for the course on Quantum Mechanics and is also suitable for individual study.

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.

Hamiltonian Partial Differential Equations and Applications

Author : Philippe Guyenne
Publisher : Springer
ISBN 13 : 149392950X
Total Pages : 449 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Hamiltonian Partial Differential Equations and Applications by : Philippe Guyenne

Download or read book Hamiltonian Partial Differential Equations and Applications written by Philippe Guyenne and published by Springer. This book was released on 2015-09-11 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to cosmology, fluid mechanics and water waves. The volume contains both surveys and original research papers and gives a concise overview of the above topics, with results ranging from mathematical modeling to rigorous analysis and numerical simulation. It will be of particular interest to graduate students as well as researchers in mathematics and physics, who wish to learn more about the powerful and elegant analytical techniques for Hamiltonian partial differential equations.

变分法

Author : M.·斯特沃 (瑞士)
Publisher :
ISBN 13 : 9787506282284
Total Pages : 274 pages
Book Rating : 4.2/5 (822 download)

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Book Synopsis 变分法 by : M.·斯特沃 (瑞士)

Download or read book 变分法 written by M.·斯特沃 (瑞士) and published by . This book was released on 2006 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 本书阐述变分法中的经典直接法及其扩张,讨论极小极大化方法,介绍变分法中的新理论。适用于数学及相关专业的研究生和研究人员。

Lectures on Quantum Mechanics and Attractors

Author : A. I. Komech
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811248894
Total Pages : 0 pages
Book Rating : 4.2/5 (488 download)

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Book Synopsis Lectures on Quantum Mechanics and Attractors by : A. I. Komech

Download or read book Lectures on Quantum Mechanics and Attractors written by A. I. Komech and published by World Scientific Publishing Company. This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a concise introduction to Quantum Mechanics with a systematic, coherent, and in-depth explanation of related mathematical methods from the scattering theory and the theory of Partial Differential Equations. The book is aimed at graduate and advanced undergraduate students in mathematics, physics, and chemistry, as well as at the readers specializing in quantum mechanics, theoretical physics and quantum chemistry, and applications to solid state physics, optics, superconductivity, and quantum and high-frequency electronic devices. The book utilizes elementary mathematical derivations. The presentation assumes only basic knowledge of the origin of Hamiltonian mechanics, Maxwell equations, calculus, Ordinary Differential Equations and basic PDEs. Key topics include the Schrö dinger, Pauli, and Dirac equations, the corresponding conservation laws, spin, the hydrogen spectrum, and the Zeeman effect, scattering of light and particles, photoelectric effect, electron diffraction, and relations of quantum postulates with attractors of nonlinear Hamiltonian PDEs. Featuring problem sets and accompanied by extensive contemporary and historical references, this book could be used for the course on Quantum Mechanics and is also suitable for individual study.

Properties of Global Attractors of Partial Differential Equations

Author : Anatoliĭ Vladimirovich Babin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821841099
Total Pages : 184 pages
Book Rating : 4.8/5 (41 download)

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Book Synopsis Properties of Global Attractors of Partial Differential Equations by : Anatoliĭ Vladimirovich Babin

Download or read book Properties of Global Attractors of Partial Differential Equations written by Anatoliĭ Vladimirovich Babin and published by American Mathematical Soc.. This book was released on 1992 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Semigroups, Partial Differential Equations and Attractors

Author : Tepper L. Gill
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nonlinear Semigroups, Partial Differential Equations and Attractors by : Tepper L. Gill

Download or read book Nonlinear Semigroups, Partial Differential Equations and Attractors written by Tepper L. Gill and published by Lecture Notes in Mathematics. This book was released on 1989-08-23 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

Recent Developments in Nonlinear Partial Differential Equations

Author : Donatella Danielli
Publisher : American Mathematical Soc.
ISBN 13 : 0821837400
Total Pages : 133 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Nonlinear Partial Differential Equations by : Donatella Danielli

Download or read book Recent Developments in Nonlinear Partial Differential Equations written by Donatella Danielli and published by American Mathematical Soc.. This book was released on 2007 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and expository articles based on talks presented at the 2nd Symposium on Analysis and PDEs, held at Purdue University. The Symposium focused on topics related to the theory and applications of nonlinear partial differential equations that are at the forefront of current international research. Papers in this volume provide a comprehensive account of many of the recent developments in the field. The topics featured in this volume include: kinetic formulations of nonlinear PDEs; recent unique continuation results and their applications; concentrations and constrained Hamilton-Jacobi equations; nonlinear Schrodinger equations; quasiminimal sets for Hausdorff measures; Schrodinger flows into Kahler manifolds; and parabolic obstacle problems with applications to finance. The clear and concise presentation in many articles makes this volume suitable for both researchers and graduate students.

Transformation Methods For Nonlinear Partial Differential Equations

Author : Dominic G B Edelen
Publisher : World Scientific
ISBN 13 : 9814505684
Total Pages : 341 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Transformation Methods For Nonlinear Partial Differential Equations by : Dominic G B Edelen

Download or read book Transformation Methods For Nonlinear Partial Differential Equations written by Dominic G B Edelen and published by World Scientific. This book was released on 1992-06-09 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the book is to provide research workers in applied mathematics, physics, and engineering with practical geometric methods for solving systems of nonlinear partial differential equations. The first two chapters provide an introduction to the more or less classical results of Lie dealing with symmetries and similarity solutions. The results, however, are presented in the context of contact manifolds rather than the usual jet bundle formulation and provide a number of new conclusions. The remaining three chapters present essentially new methods of solution that are based on recent publications of the authors'. The text contains numerous fully worked examples so that the reader can fully appreciate the power and scope of the new methods. In effect, the problem of solving systems of nonlinear partial differential equations is reduced to the problem of solving families of autonomous ordinary differential equations. This allows the graphs of solutions of the system of partial differential equations to be realized as certain leaves of a foliation of an appropriately defined contact manifold. In fact, it is often possible to obtain families of solutions whose graphs foliate an open subset of the contact manifold. These ideas are extended in the final chapter by developing the theory of transformations that map a foliation of a contact manifold onto a foliation. This analysis gives rise to results of surprising depth and practical significance. In particular, an extended Hamilton-Jacobi method for solving systems of partial differential equations is obtained.

Analysis of Hamiltonian PDEs

Author : Sergej B. Kuksin
Publisher : Clarendon Press
ISBN 13 : 9780198503958
Total Pages : 228 pages
Book Rating : 4.5/5 (39 download)

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Book Synopsis Analysis of Hamiltonian PDEs by : Sergej B. Kuksin

Download or read book Analysis of Hamiltonian PDEs written by Sergej B. Kuksin and published by Clarendon Press. This book was released on 2000 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the last 20-30 years, interest among mathematicians and physicists in infinite-dimensional Hamiltonian systems and Hamiltonian partial differential equations has been growing strongly, and many papers and a number of books have been written on integrable Hamiltonian PDEs. During the last decade though, the interest has shifted steadily towards non-integrable Hamiltonian PDEs. Here, not algebra but analysis and symplectic geometry are the appropriate analysing tools. The present book is the first one to use this approach to Hamiltonian PDEs and present a complete proof of the "KAM for PDEs" theorem. It will be an invaluable source of information for postgraduate mathematics and physics students and researchers.

Nonlinear Semigroups, Partial Differential Equations and Attractors

Author : Tepper L. Gill
Publisher : Springer
ISBN 13 : 3540466797
Total Pages : 242 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Nonlinear Semigroups, Partial Differential Equations and Attractors by : Tepper L. Gill

Download or read book Nonlinear Semigroups, Partial Differential Equations and Attractors written by Tepper L. Gill and published by Springer. This book was released on 2006-11-14 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hamiltonian Dynamical Systems and Applications

Author : Walter Craig
Publisher : Springer Science & Business Media
ISBN 13 : 1402069642
Total Pages : 441 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Hamiltonian Dynamical Systems and Applications by : Walter Craig

Download or read book Hamiltonian Dynamical Systems and Applications written by Walter Craig and published by Springer Science & Business Media. This book was released on 2008-02-17 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.