Journal article
A principle of maximum entropy for the Navier–Stokes equations
- Abstract:
- A principle of maximum entropy is proposed in the context of viscous incompressible flow in Eulerian coordinates. The relative entropy functional, defined over the space of L2 divergence-free velocity fields, is maximized relative to alternate measures supported over the energy–enstrophy surface. Since thermodynamic equilibrium distributions are characterized by maximum entropy, connections are drawn with stationary statistical solutions of the incompressible Navier–Stokes equations. Special emphasis is on the correspondence with the final statistics described by Kolmogorov's theory of fully developed turbulence.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 532.3KB, Terms of use)
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- Publisher copy:
- 10.1016/j.physd.2024.134274
Authors
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/L015811/1
- EP/V008854/1
- EP/V051121/1
- Publisher:
- Elsevier
- Journal:
- Physica D: Nonlinear Phenomena More from this journal
- Volume:
- 467
- Article number:
- 134274
- Publication date:
- 2024-07-01
- Acceptance date:
- 2024-06-21
- DOI:
- EISSN:
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1872-8022
- ISSN:
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0167-2789
- Language:
-
English
- Keywords:
- Pubs id:
-
2012655
- Local pid:
-
pubs:2012655
- Deposit date:
-
2024-10-12
- ARK identifier:
Terms of use
- Copyright holder:
- Chen et al.
- Copyright date:
- 2024
- Rights statement:
- © 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
- Licence:
- CC Attribution (CC BY)
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