书目名称 | Hamiltonian Dynamical Systems and Applications |
编辑 | Walter Craig |
视频video | |
概述 | Lecture notes on current state-of-the-art by the researchers who have developed the theory.Introductions of the technically deep methods of Hamiltonian mechanics to partial differential equations.Cont |
丛书名称 | NATO Science for Peace and Security Series B: Physics and Biophysics |
图书封面 |  |
描述 | .Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees of freedom. 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 as well as the theory of Hamiltonian systems in infinite dimensional phase space; these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many |
出版日期 | Conference proceedings 20081st edition |
关键词 | Biophysics; NATO; Physics; Potential; Science; Security; Sobolev space; Sub-Series B; analysis; partial diffe |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4020-6964-2 |
isbn_softcover | 978-1-4020-6963-5 |
isbn_ebook | 978-1-4020-6964-2Series ISSN 1874-6500 Series E-ISSN 1874-6535 |
issn_series | 1874-6500 |
copyright | Springer Science+Business Media B.V. 2008 |