Vortex dynamics on surfaces exploring new fluid phenomena brought by geometry

表面涡动力学探索几何带来的新流体现象

• 批准号: 18H01136
• 负责人: SAKAJO TAKASHI
• 金额: $ 10.65万
• 依托单位: Kyoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2018
• 资助国家: 日本
• 起止时间: 2018-04-01 至 2022-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18H01136/
• 关键词: 応用数学; 力学系; 渦力学; 流体力学; 微分幾何学; トポロジー; 流体方程式

项目成果

Universality of the Anomalous Enstrophy Dissipation at the Collapse of Three Point Vortices on Euler--Poincar? Models

欧拉-庞加莱三点涡塌陷时反常熵耗散的普遍性？

• DOI: 10.1137/17m1127855
• 发表时间: 2018
• 期刊: SIAM Journal on Applied Mathematics
• 影响因子: 1.9
• 作者: Gotoda Takeshi;Sakajo Takashi
• 通讯作者: Sakajo Takashi

Topological characterizations of 2D gradient flows and 2D Morse-Smale flows and their generic inter mediate flows

二维梯度流和二维 Morse-Smale 流及其通用中间流的拓扑表征

• 发表时间: 2021
• 作者: Gotoda Takeshi;Sakajo Takashi;神保 秀一;坂上貴之;Shuichi Jimbo;Tomoo Yokoyama;Tomoyuki Miyaji;Takashi Sakajo;坂上貴之;Hideki Murakawa;坂上貴之;Hideki Murakawa;坂上貴之;Shingo Iwami;Tomoo Yokoyama;Tomoo Yokoyama;Shingo Iwami;坂上貴之;坂上貴之;Y. Morita;Tomoo Yokoyama;Y. Morita;Tomoo Yokoyama
• 通讯作者: Tomoo Yokoyama

全測地的部分多様体による共役点の特徴づけ、及び非粘性流体への応用

使用所有测地线子流形表征共轭点并应用于无粘流体

• 发表时间: 2019
• 作者: Gotoda Takeshi;Sakajo Takashi;神保 秀一;坂上貴之;Shuichi Jimbo;Tomoo Yokoyama;Tomoyuki Miyaji;Takashi Sakajo;坂上貴之;Hideki Murakawa;坂上貴之;Hideki Murakawa;坂上貴之;Shingo Iwami;Tomoo Yokoyama;Tomoo Yokoyama;Shingo Iwami;坂上貴之;坂上貴之;Y. Morita;Tomoo Yokoyama;Y. Morita;Tomoo Yokoyama;Takashi Sakajo;Y. Morita;坂上貴之;Y. Morita;Takashi Sakajo;Tomoo Yokoyama;Y. Morita;Takashi Sakajo;神保秀一;Takashi Sakajo;H. Murakawa;Takashi Sakajo;H. Murakawa;Takashi Sakajo;H. Murakawa;坂上貴之;H. Murakawa;Takashi Sakajo;H. Murakawa;米田剛;H. Murakawa;米田剛
• 通讯作者: 米田剛

Imperial College London/The University of Bath/Reading University(英国)

伦敦帝国理工学院/巴斯大学/雷丁大学（英国）

Topological invariants of 2D and 3D flows and their applications

2D和3D流的拓扑不变量及其应用

• 发表时间: 2021
• 作者: Miguel Dominguez-Vazquez Miguel;Victor Sanmartin-Lopez;Hiroshi Tamaru;Tomoo Yokoyama
• 通讯作者: Tomoo Yokoyama