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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| rsta.2021.0077.pdf | 361.62 kB | Adobe PDF | 見る/開く |
| タイトル: | Remarks on the principles of statistical fluid mechanics |
| 著者: | Ohkitani, Koji |
| 著者名の別形: | 大木谷, 耕司 |
| キーワード: | Hopf equation functional integration turbulence applied mathematics mathematical physics fluid mechanics |
| 発行日: | 7-Mar-2022 |
| 出版者: | The Royal Society |
| 誌名: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| 巻: | 380 |
| 号: | 218 |
| 論文番号: | 20210077 |
| 抄録: | 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. |
| 著作権等: | This is the accepted manuscript of the article, which has been published in final form at http://doi.org/10.1098/rsta.2021.0077. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/267890 |
| DOI(出版社版): | 10.1098/rsta.2021.0077 |
| PubMed ID: | 35034490 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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