Mathematical modeling and analysis of astronomical phenomena on the basis of continuum approximation

基于连续介质近似的天文现象数学建模与分析

• 批准号: 23740099
• 负责人: UMEHARA Morimichi
• 金额: $ 1.58万
• 依托单位: University of Miyazaki (2012-2013)Ibaraki University (2011)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23740099/
• 关键词: Navier-Stokes方程式; 自由境界問題; 圧縮性粘性流体; 自己重力; 天体の連続体モデル; 球対称運動; 二相問題; Stefan問題

We mathematically modelized, on the basis of continuum approximation, some astrophysical phenomena including the inner one of astronomical bodies, and mathematically analyzed them. We obtained the following main two results: (1) On the case that a star is composed by the ideal gas and its motion is spacially one-dimensional, we found a certain condition, concerning external circumstances of the star, guaranteeing that the motion of the gas exists long-time and stably; (2) On the case that the gaseous motion is spherically symmetric in three-dimension, we obtained the result nearly equivalent to the one in (1). Although a precedent result of our study has already been obtained by the present reporter, we succeeded in refining them at some essential points.

在连续介质近似的基础上，对包括天体内部现象在内的一些天体物理现象进行了数学建模，并进行了数学分析。我们得到了以下两个主要结果：（1）在星星是由理想气体组成的，并且它的运动是空间一维的情况下，我们找到了一个关于星星外部环境的条件，保证气体的运动长期稳定地存在;（2）在三维球对称气体运动的情况下，得到了与（1）近似等价的结果。尽管本记者已经获得了我们研究的先例结果，但我们成功地在一些要点上对其进行了改进。

项目成果

Global existence of the spherically symmetric flow of a self-gravitating viscous gas

自引力粘性气体球对称流的整体存在

• 发表时间: 2011
• 作者: O.Hatori;Y.Iida;S.Stevic;S.Ueki;野津裕史;梅原守道;H. Notsu;A.K. Sharma and S. Ueki;羽鳥理;Ege Fujikawa;Ege Fujikawa;Ege Fujikawa;Michiyuki Watanabe;野津裕史，田端正久;渡邊 道之;Morimichi Umehara
• 通讯作者: Morimichi Umehara

Spherically symmetric flow of the self-gravitating viscous gas over the rigid core

自重力粘性气体在刚性核心上的球对称流动

• 发表时间: 2011
• 作者: O.Hatori;Y.Iida;S.Stevic;S.Ueki;野津裕史;梅原守道;H. Notsu;A.K. Sharma and S. Ueki;羽鳥理;Ege Fujikawa;Ege Fujikawa;Ege Fujikawa;Michiyuki Watanabe;野津裕史，田端正久;渡邊 道之;Morimichi Umehara;H. Notsu;梅原守道;S. Ueki;Morimichi Umehara
• 通讯作者: Morimichi Umehara

Large-time existence of the spherically symmmetric flow of a self-gravitating viscous gas

自引力粘性气体球对称流的长时间存在

• 发表时间: 2013
• 作者: O.Hatori;Y.Iida;S.Stevic;S.Ueki;野津裕史;梅原守道
• 通讯作者: 梅原守道

Global existence of the spherically symmetric motion of a self-gravitating viscous gas over the rigid core

自引力粘性气体在刚性核心上的球对称运动的整体存在

• 发表时间: 2011
• 作者: O.Hatori;Y.Iida;S.Stevic;S.Ueki;野津裕史;梅原守道;H. Notsu;A.K. Sharma and S. Ueki;羽鳥理;Ege Fujikawa;Ege Fujikawa;Ege Fujikawa;Michiyuki Watanabe;野津裕史，田端正久;渡邊 道之;Morimichi Umehara;H. Notsu;梅原守道
• 通讯作者: 梅原守道

宮崎大学研究者総覧

宫崎大学研究人员名单