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Turbulence in Rotating, Stratified and Electrically Conducting Fluids
P. A. Davidson
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Últimas novedades matemáticas
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There are two recurring themes in astrophysical and geophysical fluid mechanics: waves and turbulence. This book investigates how turbulence responds to rotation, stratification or magnetic fields, identifying common themes, where they exist, as well as the essential differences which inevitably arise between different classes of flow. The discussion is developed from first principles, making the book suitable for graduate students as well as professional researchers. The author focuses first on the fundamentals and then progresses to such topics as the atmospheric boundary layer, turbulence in the upper atmosphere, turbulence in the core of the earth, zonal winds in the giant planets, turbulence within the interior of the sun, the solar wind, and turbulent flows in accretion discs. The book will appeal to engineers, geophysicists, astrophysicists and applied mathematicians who are interested in naturally occurring turbulent flows. |
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Preface 1. The interplay of waves and turbulence: a preview Part I. From Fluid Mechanics to Magnetohydrodynamics: 2. Elementary fluid dynamics 3. Motion in a rotating fluid 4. Motion in a stratified fluid 5. The equations of electrodynamics 6. Motion in a conducting fluid: magnetohydrodynamics 7. Instabilities and transition to turbulence Part II. Turbulence in the Absence of Body Forces: 8. Elementary properties of turbulence 9. The language of turbulence: kinematics and statistics 10. Hydrodynamic turbulence I. Classical theories 11. Hydrodynamic turbulence II: steps towards rotating, stratified and MHD turbulence Part III. Turbulence in the Presence of Body Forces: 12. Rapidly rotating turbulence 13. Towards geophysics: shallow-water, rapidly-rotating turbulence 14. Homogeneous stratified turbulence 15. Stratified shear flows and the atmospheric boundary layer 16. MHD turbulence at low magnetic Reynolds number 17. Turbulence in the core of the Earth: the geodynamo 18. MHD turbulence at high magnetic Reynolds number 19. Turbulent astrophysical flows Epilogue Index.
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