Infinite Dimensional Hamiltonian Systems
Download Infinite Dimensional Hamiltonian Systems full books in PDF, epub, and Kindle. Read online free Infinite Dimensional Hamiltonian Systems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Sergej B. Kuksin |
Publisher |
: Springer |
Total Pages |
: 128 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540479208 |
ISBN-13 |
: 3540479201 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Nearly Integrable Infinite-Dimensional Hamiltonian Systems by : Sergej B. Kuksin
The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. The theorem is applied to classical nonlinear PDE's with one-dimensional space variable such as the nonlinear string and nonlinear Schr|dinger equation andshow that the equations have "regular" (=time-quasiperiodic and time-periodic) solutions in rich supply. These results cannot be obtained by other techniques. The book will thus be of interest to mathematicians and physicists working with nonlinear PDE's. An extensivesummary of the results and of related topics is provided in the Introduction. All the nontraditional material used is discussed in the firstpart of the book and in five appendices.
Author |
: P.R. Chernoff |
Publisher |
: |
Total Pages |
: 172 |
Release |
: 2014-06-18 |
ISBN-10 |
: 3662211823 |
ISBN-13 |
: 9783662211823 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Properties of Infinite Dimensional Hamiltonian Systems by : P.R. Chernoff
Author |
: Hideki Omori |
Publisher |
: |
Total Pages |
: 280 |
Release |
: 1974 |
ISBN-10 |
: 0387070117 |
ISBN-13 |
: 9780387070117 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Algebraic and Geometrical Methods in Topology by : Hideki Omori
Author |
: Hideki Omori |
Publisher |
: |
Total Pages |
: 280 |
Release |
: 1974 |
ISBN-10 |
: 0387070117 |
ISBN-13 |
: 9780387070117 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Algebraic and Geometrical Methods in Topology by : Hideki Omori
Author |
: Birgit Jacob |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 221 |
Release |
: 2012-06-13 |
ISBN-10 |
: 9783034803991 |
ISBN-13 |
: 3034803990 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces by : Birgit Jacob
This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.
Author |
: Rudolf Schmid |
Publisher |
: |
Total Pages |
: 178 |
Release |
: 1987 |
ISBN-10 |
: UOM:39015015305066 |
ISBN-13 |
: |
Rating |
: 4/5 (66 Downloads) |
Synopsis Infinite Dimensional Hamiltonian Systems by : Rudolf Schmid
Author |
: Paul R. Chernoff |
Publisher |
: |
Total Pages |
: |
Release |
: 1974 |
ISBN-10 |
: OCLC:471620513 |
ISBN-13 |
: |
Rating |
: 4/5 (13 Downloads) |
Synopsis Properties of infinite dimensional Hamiltonian systems by : Paul R. Chernoff
Author |
: Alexander Mielke |
Publisher |
: |
Total Pages |
: 26 |
Release |
: 2009 |
ISBN-10 |
: OCLC:502423584 |
ISBN-13 |
: |
Rating |
: 4/5 (84 Downloads) |
Synopsis Dispersive Stability of Infinite Dimensional Hamiltonian Systems on Lattices by : Alexander Mielke
Author |
: Wilfrid Gangbo |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 90 |
Release |
: 2010 |
ISBN-10 |
: 9780821849392 |
ISBN-13 |
: 0821849395 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Differential Forms on Wasserstein Space and Infinite-Dimensional Hamiltonian Systems by : Wilfrid Gangbo
Let $\mathcal{M}$ denote the space of probability measures on $\mathbb{R}^D$ endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in $\mathcal{M}$ was introduced by Ambrosio, Gigli, and Savare. In this paper the authors develop a calculus for the corresponding class of differential forms on $\mathcal{M}$. In particular they prove an analogue of Green's theorem for 1-forms and show that the corresponding first cohomology group, in the sense of de Rham, vanishes. For $D=2d$ the authors then define a symplectic distribution on $\mathcal{M}$ in terms of this calculus, thus obtaining a rigorous framework for the notion of Hamiltonian systems as introduced by Ambrosio and Gangbo. Throughout the paper the authors emphasize the geometric viewpoint and the role played by certain diffeomorphism groups of $\mathbb{R}^D$.
Author |
: P.R. Chernoff |
Publisher |
: Springer |
Total Pages |
: 165 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540372875 |
ISBN-13 |
: 3540372873 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Properties of Infinite Dimensional Hamiltonian Systems by : P.R. Chernoff