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Turbulence: The Legacy of A.N. Kolmogorov
Abstract
This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.
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Cited by
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
The Statistics of Supersonic Isothermal Turbulence
Kritsuk, A. G., Norman, M. L., Padoan, P., & Wagner, R. (2007) · The Astrophysical Journal · doi:10.1086/519443 · Cited by 594
Colloquium : Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
Shukla, P. K., & Eliasson, B. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.885 · Cited by 477
Cascaded digital lattice Boltzmann automata for high Reynolds number flow
Geier, M., Greiner, A., & Korvink, J. G. (2006) · Physical Review E · doi:10.1103/physreve.73.066705 · Cited by 417
Farmer, C. L. (2002) · International Journal for Numerical Methods in Fluids · doi:10.1002/fld.267 · Cited by 366
Metadata
- Authors
- Frisch, U.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1995-11-30
- OpenAlex
- W4243066586
- Cited by
- 5,045
- References
- 0
- FWCI
- 45.22
- Type
- book
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
