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dc.contributor.author | Kishimoto, Nobu | en |
dc.contributor.author | Yoneda, Tsuyoshi | en |
dc.contributor.alternative | 岸本, 展 | ja |
dc.contributor.alternative | 米田, 剛 | ja |
dc.date.accessioned | 2022-09-07T08:05:37Z | - |
dc.date.available | 2022-09-07T08:05:37Z | - |
dc.date.issued | 2022-08 | - |
dc.identifier.uri | http://hdl.handle.net/2433/276192 | - |
dc.description.abstract | Recently, the Nash-style convex integration has been becoming the main scheme for the mathematical study of turbulence, and the main building block of it has been either Beltrami flow (finite mode) or Mikado flow (compactly supported in the physical side). On the other hand, in physics, it is observed that turbulence is composed of a hierarchy of scale-by-scale vortex stretching. Thus our mathematical motivation in this study is to find another type of building blocks accompanied by vortex stretching and scale locality (possibly finitely many Fourier modes). In this paper, we give a complete list of solutions to the 3D Euler equations with finitely many Fourier modes, which is an extension of the corresponding 2D result by Elgindi et al. (Comm Math Phys 355(1): 145–159, 2017). In particular, we show that there are no 3D Euler flows with finitely many Fourier modes, except for stationary 2D-like flows and Beltrami flows. We also discuss the case when viscosity and Coriolis effect are present. | en |
dc.language.iso | eng | - |
dc.publisher | Springer Nature | en |
dc.rights | This is a post-peer-review, pre-copyedit version of an article published in 'Journal of Mathematical Fluid Mechanics'. The final authenticated version is available online at: https://doi.org/10.1007/s00021-022-00703-5. | en |
dc.rights | The full-text file will be made open to the public on 15 June 2023 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. | en |
dc.rights | 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。 | en |
dc.subject | Three-dimensional incompressible Euler flow | en |
dc.subject | Finitely many Fourier modes | en |
dc.subject | Characterization | en |
dc.subject | Beltrami flow | en |
dc.subject | 35Q31 | en |
dc.subject | 76B03 | en |
dc.title | Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Journal of Mathematical Fluid Mechanics | en |
dc.identifier.volume | 24 | - |
dc.identifier.issue | 3 | - |
dc.relation.doi | 10.1007/s00021-022-00703-5 | - |
dc.textversion | author | - |
dc.identifier.artnum | 74 | - |
dc.relation.url | https://arxiv.org/abs/2110.08039 | - |
dcterms.accessRights | open access | - |
datacite.date.available | 2023-06-15 | - |
datacite.awardNumber | 16K17626 | - |
datacite.awardNumber | 17H02860 | - |
datacite.awardNumber | 18H01136 | - |
datacite.awardNumber | 18H01135 | - |
datacite.awardNumber | 20H01819 | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-16K17626/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-17H02860/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-18H01136/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-18H01135/ | - |
datacite.awardNumber.uri | https://kaken.nii.ac.jp/ja/grant/KAKENHI-PROJECT-20H01819/ | - |
dc.identifier.pissn | 1422-6928 | - |
dc.identifier.eissn | 1422-6952 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.awardTitle | 非線形分散型波動方程式における共鳴相互作用の構造と解の挙動・特異性の研究 | ja |
jpcoar.awardTitle | 流体方程式における非共鳴非線形相互作用 | ja |
jpcoar.awardTitle | 曲面上の渦力学 : 曲面の幾何がもたらす新しい流体運動の数理科学 | ja |
jpcoar.awardTitle | 粘弾性流体に特有な渦の数理解析 | ja |
jpcoar.awardTitle | 物理と数学の協働によるNavier-Stokes乱流のエネルギーカスケードの解明 | ja |
出現コレクション: | 学術雑誌掲載論文等 |
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