Remarks on the principles of statistical fluid mechanics
Abstract
This is an idiosyncratic survey of statistical fluid mechanics centering on the Hopf functional differential equation. Using the Burgers equation for illustration, we review several functional integration approaches to the theory of turbulence. We note in particular that some important contributions have been brought about by researchers working on wave propagation in random media, among which Uriel Frisch is not an exception. We also discuss a particular finite-dimensional approximation for the Burgers equation.
Journal
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- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380 (218), 2022-03-07
The Royal Society
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Keywords
Details 詳細情報について
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- CRID
- 1050009640091044736
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- NII Article ID
- 120007189274
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- ISSN
- 14712962
- 1364503X
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- HANDLE
- 2433/267890
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles