Mathematical analysis of the continuum model of astronomical objects
| Project/Area Number |
21840014
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Ibaraki University |
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Principal Investigator |
UMEHARA Morimichi Ibaraki University, 大学教育センター, 講師 (40532164)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,041,000 (Direct Cost: ¥1,570,000、Indirect Cost: ¥471,000)
Fiscal Year 2010: ¥1,118,000 (Direct Cost: ¥860,000、Indirect Cost: ¥258,000)
Fiscal Year 2009: ¥923,000 (Direct Cost: ¥710,000、Indirect Cost: ¥213,000)
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| Keywords | 圧縮性粘性流体 / Navier-Stokes方程式 / 自由境界問題 / 自己重力 / 偏微分方程式 / 天体の連続体モデル / 解析学 / 流体の基礎方程式 / 天体物理 |
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| Research Abstract |
We considered the mathematical modelization of astronomical objects by the continuum approximation (based on the basic equation of compressible viscous fluid), and verified the justification of our modeling through mathematical analysis. We obtained the following main two results : (1) On the case that both the model is composed of ideal gas and the gaseous motion is spacially one-dimensional, we proved that the motion of the gas exists for a long time stably without taking the smallness on the size of the initial data. (2) On the case that the gaseous motion is spherically symmetric in spacially three-dimension, we proved the long time stability of the motion of the gas as with the case (1).
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Report
(3 results)
Research Products
(9 results)
