2013 Fiscal Year Final Research Report
Mathematical modeling and analysis of astronomical phenomena on the basis of continuum approximation
| Project/Area Number |
23740099
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | University of Miyazaki (2012-2013)
Ibaraki University (2011) |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Keywords | 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 |
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| Research Abstract |
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.
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