Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics
Edited book (chapter)
Roberts, A. J.. 2003. "Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics." Ball, Rowena and Akhmediev, Nial (ed.) Nonlinear dynamics from lasers to butterflies: selected lectures from the 15th Canberra International Physics Summer School. World Scientific Publishing. pp. 257-313
| Chapter Title | Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics |
|---|---|
| Book Chapter Category | Edited book (chapter) |
| ERA Publisher ID | 3854 |
| Book Title | Nonlinear dynamics from lasers to butterflies: selected lectures from the 15th Canberra International Physics Summer School |
| Authors | |
| Author | Roberts, A. J. |
| Editors | Ball, Rowena and Akhmediev, Nial |
| Page Range | 257-313 |
| Series | Lecture Notes in Complex Systems |
| Number of Pages | 57 |
| Year | 2003 |
| Publisher | World Scientific Publishing |
| ISBN | 9789812791252 |
| Abstract | Consider briefly the equations of fluid dynamics — they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow — whereas in applications we want to deal with a description of just that which is interesting. In a wide variety of situations, simple approximate models are needed to perform practical simulations and make forecasts. I overview the derivation, from a mathematical description of the detailed dynamics, to accurate and complete low-dimensional models of the interesting dynamics in a system. The development of centre manifold theory and associated techniques puts this modelling process on a firm basis. The geometric viewpoint of dynamical systems theory greatly enriches our approach. |
| Keywords | dynamical systems; centre manifold theory; fluid mechanics |
| ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
| 401299. Fluid mechanics and thermal engineering not elsewhere classified | |
| Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
| Byline Affiliations | Department of Mathematics and Computing |
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