粘性不可压缩流涡量场非线性偏微分方程的数学分析-猫眼课题宝

粘性不可压缩流涡量场非线性偏微分方程的数学分析

批准号：

20840033

负责人：

MAEKAWA Yasunori

金额：

$2.07万

依托单位：

Kyushu University

依托单位国家：

日本

项目类别：

Grant-in-Aid for Young Scientists (Start-up)

财政年份：

2008

资助国家：

日本

项目状态：

已结题

起止时间：

2008 至 2009

来源：

https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20840033/

关键词：

偏微分方程式流体力学非圧縮性粘性流体 Navier-Stokes方程式渦度方程式 Burgers渦安定性解析非線形偏微分方程式渦度場自己相似解

项目摘要

项目成果

MAEKAWA Yasunori的其他基金

相似基金

相关文献

中文摘要

翻译

点击翻译按钮获取中文摘要

英文摘要

It is well-known that vorticity fields play important roles in dynamics of incompressible flows. This research aims to analyze linear and nonlinear partial differential equations related with vorticity fields mathematically. As one of the results obtained in this research, it is rigorously proved that some stationary solutions which are known as a model of a coherent structure of vortex tubes in turbulent flows are asymptotically stable with respect to small three-dimensional perturbation flows. This research has successfully made an important contribution in the theory of partial differential equations and the study of the dynamics of turbulent flows.

期刊论文(0)

专著(0)

科研奖励(0)

会议论文

Stability of the axisymmetric Burgers vortex

轴对称伯格斯涡的稳定性

DOI： --

发表时间： 2009

期刊：

影响因子： --

作者：

[Yutaka MATSUI, Kiyoshi TAKEUCHI, Yasunori Maekawa, 安田健彦, Y. MATSUI, 前川泰則, Yutaka MATSUI, Takehiko Yasuda, Yasunori Maekawa]

通讯作者： Yasunori Maekawa

Asymmetric Burgers vortices at large circulation

大循环时的不对称汉堡涡流

DOI： --

发表时间： 2008

期刊：

影响因子： --

作者：

[Yutaka MATSUI, Kiyoshi TAKEUCHI, Yasunori Maekawa, 安田健彦, Y. MATSUI, 前川泰則, Yutaka MATSUI, Takehiko Yasuda, Yasunori Maekawa, 安田健彦, Y.MATSUI, 前川泰則, Takehiko Yasuda, Yutaka MATSUI, 前川泰則, 安田健彦, Yutaka MATSUI, 前川泰則, 安田健彦, 前川泰則, 前川泰則, 前川泰則, 前川泰則, 前川泰則, Yasunori Maekawa, 前川泰則, 前川泰則, 前川泰則, Fumikazu Nagasato, Yasunori Maekawa]

通讯作者： Yasunori Maekawa

Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance

存在平移和标度不变性时演化方程解的渐近行为

DOI： 10.1016/j.jfa.2011.02.004

发表时间： 2011

期刊：

J.Functional Analysis

影响因子： --

作者：

[Fang Li, Kimie Nakashima, Koichi Kawakami, Yoshiyuki Kagei]

通讯作者： Yoshiyuki Kagei

On a free boundary problem of the coupled Navier-Stokes / mean curvature equations