The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Euler-Poincaré Models of Ideal Fluids with Nonlinear Dispersion
Abstract
We propose a new class of models for the mean motion of ideal incompressible fluids in three dimensions, including stratification and rotation. In these models, the amplitude of the rapid fluctuations introduces a length scale, $\ensuremath{\alpha}$, below which wave activity is filtered by both linear and nonlinear dispersion. This filtering enhances the stability and regularity of the new fluid models without compromising either their large scale behavior, or their conservation laws. These models also describe geodesic motion on the volume-preserving diffeomorphism group for a metric containing the ${H}^{1}$ norm of the fluid velocity.
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Cites
Pedlosky, J., & Leibovich, S. (1981) · Journal of Applied Mechanics · doi:10.1115/1.3157711 · Cited by 4,631
Cited by
Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
Chen, S., Foias, C., Holm, D. D., Olson, E., Titi, E. S., & Wynne, S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5338 · Cited by 347
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Metadata
- Authors
- Holm, D. D., Marsden, J. E., & Ratiu, T. S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-05-11
- Volume
- 80
- Issue
- 19
- Pages
- 4173-4176
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2009082840
- Cited by
- 292
- References
- 1
- FWCI
- 23.50
- Type
- journal article
- Language
- en
- Open access
- closed
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- Holm, D. D., Marsden, J. E., & Ratiu, T. S. (1998). Euler-Poincaré Models of Ideal Fluids with Nonlinear Dispersion. Physical Review Letters. https://doi.org/10.1103/physrevlett.80.4173
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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