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- catalog abstract "For turbulent flows at relatively low speeds there exists a well-established mathematical model in the incompressible Navier-Stokes equations. Why then is the "problem of turbulence" so difficult? One reason is that these non-linear partial differential equations appear to be insoluble, except through numerical simulations, which offer useful approximations, but little direct understanding. Three recent developments offer new hope. Firstly the discovery by experimentalists of coherent structures in certain turbulent flows. Secondly, the suggestion that strange attractors and other ideas from finite-dimensional dynamical systems theory might play a role in the analysis of the governing equations. And, finally, the introduction of the Karhunen-Loeve or proper orthogonal decomposition. This book introduces these developments and describes how they may be combined to create low-dimensional models of turbulence, resolving only by the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental, and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence.".
- catalog contributor b11149770.
- catalog contributor b11149771.
- catalog contributor b11149772.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "For turbulent flows at relatively low speeds there exists a well-established mathematical model in the incompressible Navier-Stokes equations. Why then is the "problem of turbulence" so difficult? One reason is that these non-linear partial differential equations appear to be insoluble, except through numerical simulations, which offer useful approximations, but little direct understanding. Three recent developments offer new hope. Firstly the discovery by experimentalists of coherent structures in certain turbulent flows. Secondly, the suggestion that strange attractors and other ideas from finite-dimensional dynamical systems theory might play a role in the analysis of the governing equations. And, finally, the introduction of the Karhunen-Loeve or proper orthogonal decomposition.".
- catalog description "Includes bibliographical references (p. 401-416) and index.".
- catalog description "This book introduces these developments and describes how they may be combined to create low-dimensional models of turbulence, resolving only by the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental, and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence.".
- catalog description "pt. 1. Turbulence. 1. Introduction. 2. Coherent structures. 3. Proper orthogonal decomposition. 4. Galerkin projection -- pt. 2. Dynamical systems. 5. Qualitative theory. 6. Symmetry. 7. One-dimensional "turbulence" 8. Randomly perturbed systems -- pt. 3. The boundary layer. 9. Low-dimensional models. 10. Behavior of the models -- pt. 4. Other applications and related work. 11. Some other fluid problems. 12. Review: prospects for rigor.".
- catalog extent "xviii, 420 p. :".
- catalog identifier "0521551420 (hardback)".
- catalog isPartOf "Cambridge monographs on mechanics".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "Cambridge ; New York : Cambridge University Press,".
- catalog subject "532/.0527/0151535 20".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "QA913 .H65 1996".
- catalog subject "Turbulence.".
- catalog tableOfContents "pt. 1. Turbulence. 1. Introduction. 2. Coherent structures. 3. Proper orthogonal decomposition. 4. Galerkin projection -- pt. 2. Dynamical systems. 5. Qualitative theory. 6. Symmetry. 7. One-dimensional "turbulence" 8. Randomly perturbed systems -- pt. 3. The boundary layer. 9. Low-dimensional models. 10. Behavior of the models -- pt. 4. Other applications and related work. 11. Some other fluid problems. 12. Review: prospects for rigor.".
- catalog title "Turbulence, coherent structures, dynamical systems, and symmetry / Philip Holmes, John L. Lumley, and Gal Berkooz.".
- catalog type "text".