Dynamical Systems X
General Theory of Vortices
by Kozlov, V. V.
This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics. For example, the well-known Hamilton-Jacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations.
Check nearby libraries
Buy this book
| Edition | Availability |
|---|---|
1
Dynamical Systems X: General Theory of Vortices
2003, Springer Berlin Heidelberg
electronic resource :
in English
3642075843 9783642075841
|
aaaa
|
Book Details
Table of Contents
Edition Notes
Online full text is restricted to subscribers.
Also available in print.
Mode of access: World Wide Web.
Classifications
The Physical Object
Edition Identifiers
Work Identifiers
Community Reviews (0)
Lists
| September 28, 2024 | Edited by MARC Bot | import existing book |
| December 29, 2021 | Edited by ImportBot | import existing book |
| June 29, 2019 | Created by MARC Bot | import new book |